Question

The function mmm is given in three equivalent forms.

Which form most quickly reveals the vertex?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
m(x)=4(x-1)^2-36m(x)=4(x−1)
2
−36m, left parenthesis, x, right parenthesis, equals, 4, left parenthesis, x, minus, 1, right parenthesis, squared, minus, 36

(Choice B)
B
m(x)=4x^2-8x-32m(x)=4x
2
−8x−32m, left parenthesis, x, right parenthesis, equals, 4, x, squared, minus, 8, x, minus, 32

(Choice C)
C
m(x)=4(x+2)(x-4)m(x)=4(x+2)(x−4)m, left parenthesis, x, right parenthesis, equals, 4, left parenthesis, x, plus, 2, right parenthesis, left parenthesis, x, minus, 4, right parenthesis
What is the vertex?

Answer 1

The function in Choice A, m(x) = 4(x-1)^2 - 36, most quickly reveals the vertex of the parabola, which is (1, -36), since it's already in the vertex form of a quadratic function.

Step-by-step explanation:

The function mmm is given in three forms, and we need to determine which form reveals the vertex most readily. The vertex form of a quadratic function is given by f(x) = a(x-h)^2 + k, where (h,k) is the vertex of the parabola. Looking at the three options given, Choice A is already in vertex form, so it most quickly reveals the vertex of the parabola.

For Choice A, m(x) = 4(x-1)^2 - 36, we can see that the vertex (h,k) is (1, -36) because it matches the vertex form with a=4, h=1, and k=-36.

Answer 2

m(x)=4(x-1)^2-36 Vertex (1, -36)

Step-by-step explanation:

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