The vertex form is a(x-h)2 +k=y
We know that (h,k) is the vertex and in this problem h=3 and -2 =k
So we have
a(x-3)2 -2=y
Now to fine a, we simply need one more point, but we have that.
Plug in (4,3)
a(4-3)2 -2=3
or a(4-3)2 =5
a(1)=5 so a=5.
the coefficient is 5.
Check it:
5(4-3)2 -2=3
5(1)-2=3 as desired.
-3
Go study
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.
Vertex = (3, - 2)Put in vertex form.(X - 3)2 + 2X2 - 6X + 9 + 2 = 0X2 - 6X + 11 = 0=============The coefficeint of the squared term is 1. My TI-84 confirms the (4, 3) intercept of the parabola and the 11 Y intercept shown by the function.
Not really, parabolas aren't 3D like cones.
The coefficient of the squared term in a parabola's equation, typically expressed in the standard form (y = ax^2 + bx + c), is represented by the value (a). This coefficient determines the direction and the width of the parabola: if (a > 0), the parabola opens upwards, and if (a < 0), it opens downwards. The larger the absolute value of (a), the narrower the parabola.
A coefficient is a number that accompanies a variable. For example, in the expression 2x + 4, the coefficient is 2.
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4. The coefficient of the squared term in the parabolas equation is 7
The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1. The coefficient of the squared expression in the parabola's equation is -6.
7
It is 1/16.
-3
-3
u look at it.... :-) hey I'm learning about parabolas too
To find the coefficient of the squared term in the parabola's equation, we can use the vertex form of a parabola, which is (y = a(x - h)^2 + k), where ((h, k)) is the vertex. Given the vertex at (3, 1), the equation starts as (y = a(x - 3)^2 + 1). Since the parabola passes through the point (4, 0), we can substitute these values into the equation: (0 = a(4 - 3)^2 + 1), resulting in (0 = a(1) + 1). Solving for (a), we find (a = -1). Thus, the coefficient of the squared term is (-1).
Go study
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.