y = ax2 + bx + c
The graph is always a parabola.
'a', 'b', and 'c' are numbers. Different values for 'a', 'b', and 'c' produce parabolas with different widths,
noses at different heights and different left-right locations. They determine whether the parabola
opens up or opens down, and whether it crosses the 'x' and 'y' axes, and if so, where it crosses.
If you mean: ax2+bx+c = 0 then it's the general form of a quadratic equation
A quadratic involving x and y is usually in the form 'y = ax2 + bx + c'. This form is y in terms of x, so we must rearrange it. y = ax2 + bx + c y/a = x2 + bx/a + c/a y/a = x2 + bx/a + d + e, where c/a = d + e, e = (b/a)2 y/a - e = x2 + bx/a + d y/a -e = (x + b/a)2 √(y/a - e) = x + b/a √(y/a - e) - b/a = x
Your two equations are: AX + BY = A - B BX - AY = A + B + B Because you have four variables (A, B, X, Y), you cannot solve for numerical values for X and Y. There are a total of four answers to this question, solving each equation for X and Y independently. First equation: X = (A - B - BY)/A Y= (A - B - AX)/B Second equation: X = (A +2B +AY)/B Y = (BX - A - 2B)/A
9x2 - 12x + 4 = 0 is of the form ax2 + bx + c = 0 where the discriminant, D, can be found by D = b2 - 4ac First, you find the values of a, b and c: a = 9 b = -12 c = 4 Now you can find D: D = (-12)2 - (4)(9) = 144 - 36 = 108 D = 108
Y=A+BX; X=machine hours. Sounds like a linear regression. 3x - y = 5 x + 3y = 5
It is a quadratic function which represents a parabola.
A discriminant that is less than zero.
A quadratic equation.
It is the general form of a quadratic equation.
x^2+4x+7
2x^2 + 8x + 3 = 0
ax2 + bx +c is an expression, not an equation. It cannot, therefore, have a solution. If the question concerns the equation ax2 + bx + c = 0 then the answer is ax2 - 16ax + 64a = 0 for any a other than 0.
The equation ax2 + bx + c = 0, where a != 0 is called quadratic.
Two: one is 0, the other is -b/a ax2 + bx + c = 0, but c = 0 ⇒ ax2 + bx + 0 = 0 ⇒ ax2 + bx = 0 ⇒ x(ax + b) = 0 ⇒ x = 0 or (ax + b) = 0 ⇒ x = -b/a
false apex
any number
Yes that about sums it up.