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That means y = a*x^3 + b*x^2 + c*x + d, which represents a curve in the xy graph. a, b, and c are called coefficients. a is the coefficient for the cubic term (x^3). b is for the square term (x^2). c the linear coefficient. d is the constant.

If a, b, c, and d are assigned values. For example, a = 1; b =0; c = -1; and d = 4. Then the equation becomes y = x^3 - x + 4. We can substitute real values for x to obtain a corresponding value for each y. For example:

x y

0 4

1 4

2 10

and so on. We can then plot a curve on the graph paper.

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What is the equation for cubic reflected over the x axis and vertical shift down 2?

A cubic function can be expressed in the form ( f(x) = ax^3 + bx^2 + cx + d ). To reflect this function over the x-axis, you negate it, resulting in ( f(x) = -ax^3 - bx^2 - cx - d ). To apply a vertical shift down by 2, you subtract 2 from the entire function, leading to the final equation: ( f(x) = -ax^3 - bx^2 - cx - (d + 2) ).


What are the ten types of polynomial according to its degree?

Polynomials are classified by their degree as follows: Constant (degree 0) - a single value (e.g., 5). Linear (degree 1) - of the form ( ax + b ) (e.g., ( 2x + 3 )). Quadratic (degree 2) - of the form ( ax^2 + bx + c ) (e.g., ( x^2 - 4x + 4 )). Cubic (degree 3) - of the form ( ax^3 + bx^2 + cx + d ) (e.g., ( x^3 + 2x^2 - x + 7 )). Quartic (degree 4) - of the form ( ax^4 + bx^3 + cx^2 + dx + e ). Quintic (degree 5) - of the form ( ax^5 + bx^4 + cx^3 + dx^2 + ex + f ). Degree 6 (sextic) - of the form ( ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g ). Degree 7 (septimic) - of the form ( ax^7 + bx^6 + cx^5 + dx^4 + ex^3 + fx^2 + gx + h ). Degree 8 (octic) - of the form ( ax^8 + bx^7 + cx^6 + dx^5 + ex^4 + fx^3 + gx^2 + hx + i ). Degree 9 (nonic) - of the form ( ax^9 + bx^8 + cx^7 + dx^6 + ex^5 + fx^4 + gx^3 + hx^2 + ix + j ). For degrees beyond 9, the naming continues with the corresponding Latin prefixes (decadic for degree 10, undecadic for degree 11, etc.).


What is the equation for a cubic graph with points (42)?

y= ax^3+bx^2+cx-42, assuming the point was (0, 42)


If x is between a and c how are ax and ac related?

If a,b, and c are positive a < x < b means ax < cx If a,b , and c are negative a < x < b means ax > cx


What must be true about the relationship between a and c and the relationship between b and d for the equation ax plus b equals cx plus d to have no solution?

For the equation ( ax + b = cx + d ) to have no solution, the coefficients of ( x ) must be unequal, meaning ( a \neq c ). Additionally, the constants must not be equal when the terms involving ( x ) are eliminated, which translates to ( b \neq d ). Therefore, the relationships must be ( a \neq c ) and ( b \neq d ).

Related Questions

What is x as the subject what equation ax plus b equals cx plus d?

x = (d-a)/(a-c)


Program to find GCF and LCM of 2 numbers in 8086?

This is my program, and it works with all no.s except multiples of 2. org 100h MOV CX,0000H MOV DS,CX MOV SS,CX MOV SI,5000H MOV DI,5002H MOV [ DS:SI ],10H MOV [ DS:DI ],20H MOV SP,600FH MOV BX,[ DS:SI ] CMP BX,[ DS:DI ] JZ E1 JC SMALL THIK: MOV BX,0001H OK: MOV AX,[ DS:SI ] MOV DX,0000H DIV BX CMP DX,0000H JZ L1 L2: INC BX CMP [ DS:DI ],BX JC HCF JMP OK SMALL: MOV AX,[ DS:DI ] MOV [ DS:DI ],BX MOV [ DS:SI ],AX JMP THIK L1: MOV AX,[ DS:DI ] DIV BX CMP DX,0000H JNZ L2 PUSH BX INC CX JMP L2 HCF: MOV AX,0001H AGAIN: POP BX MUL BX DEC CX JNZ AGAIN LCM: MOV BX,AX MOV AX,[ DS:SI ] MUL [ DS:DI ] DIV BX E1 : INC DI INC DI MOV [ DS:DI ],AX ret


Compute the factorial of n using 8086 microprocessors?

code segment assume cs:code,ds:code mov bx,1200h mov cx,[bx] mov ax,01h l1:mul cx dec cl jnz l1 mov[bx+2],ax mov ah,4ch int 21h code ends end


What are different types of registers in a basic computer?

computer has different registers each of which has different functions. ax - accumulator register bx - base register cx - counter register computer has different registers each of which has different functions. ax - accumulator register bx - base register cx - counter register


What is the equation for cubic reflected over the x axis and vertical shift down 2?

A cubic function can be expressed in the form ( f(x) = ax^3 + bx^2 + cx + d ). To reflect this function over the x-axis, you negate it, resulting in ( f(x) = -ax^3 - bx^2 - cx - d ). To apply a vertical shift down by 2, you subtract 2 from the entire function, leading to the final equation: ( f(x) = -ax^3 - bx^2 - cx - (d + 2) ).


If ax equals b minus cx then x equals?

x = b/(a + c)


What are the ten types of polynomial according to its degree?

Polynomials are classified by their degree as follows: Constant (degree 0) - a single value (e.g., 5). Linear (degree 1) - of the form ( ax + b ) (e.g., ( 2x + 3 )). Quadratic (degree 2) - of the form ( ax^2 + bx + c ) (e.g., ( x^2 - 4x + 4 )). Cubic (degree 3) - of the form ( ax^3 + bx^2 + cx + d ) (e.g., ( x^3 + 2x^2 - x + 7 )). Quartic (degree 4) - of the form ( ax^4 + bx^3 + cx^2 + dx + e ). Quintic (degree 5) - of the form ( ax^5 + bx^4 + cx^3 + dx^2 + ex + f ). Degree 6 (sextic) - of the form ( ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g ). Degree 7 (septimic) - of the form ( ax^7 + bx^6 + cx^5 + dx^4 + ex^3 + fx^2 + gx + h ). Degree 8 (octic) - of the form ( ax^8 + bx^7 + cx^6 + dx^5 + ex^4 + fx^3 + gx^2 + hx + i ). Degree 9 (nonic) - of the form ( ax^9 + bx^8 + cx^7 + dx^6 + ex^5 + fx^4 + gx^3 + hx^2 + ix + j ). For degrees beyond 9, the naming continues with the corresponding Latin prefixes (decadic for degree 10, undecadic for degree 11, etc.).


Write an assembly language program for arranging nos in the ascending order?

title ascending order using bubble sort .model small .stack 64 .data a db 34h,78h,56h,47h si_ze dw $-a ;si_ze=no of elements .code bubsort: mov ax,@data mov ds,ax mov bx,si_ze dec bx ;bx=no of passes needed to complete sorting(n-1) outlup: mov cx,bx ;cx=no of comparisions to be performed in a pass mov si,0 inlup: mov al,a[si] inc si cmp al,a[si] jb go_on xchg al,a[si] mov a[si-1],al go_on: loop inlup ;dec cx,until cx=0 dec bx jnz outlup int 3 ;breakpoint interrupt align 16 end bubsort


What is the equation for a cubic graph with points (42)?

y= ax^3+bx^2+cx-42, assuming the point was (0, 42)


Suppose AX and BX contains signed numbers write some code to put the bigger one in CX and if they are equal add them in AX?

Da program pa yakho obo olambawa


What is the scale of c double sharp major?

The Cx Major scale will have 14 sharps (all 7 double-sharps), and the scale goes like this: Cx, Dx, Ex (same as F♯), Fx, Gx, Ax, Bx (same as C♯), Cx.


What is the size of flag register?

All of the 8086/8088 registers, AX, BX, CX, DX, SP, BP, SI, DI, CS, DS, SS, ES, IP, and FLAGS, are 16 bit registers. The AX, BX, CX, and DX registers may also be viewed as 8 eight bit registers AH/AL, BH/BL, CH/CL, and DH/DL.