Question

HELP!!!!

The quadratic function f is represented by the equation:
f(x)=(x - 4)^2 - 4
The table gives some of the values of the quadratic function g:
Which statement below is true?
a. the y-intercept of f(x) is greater than the y-intercept of g(x)
b.The y-intercept of g(x) is greater than the y-intercept of f(x)
c.The y-coordinate of the vertex of f(x) s greater than the y-coordinate of the vertex of g(x)
d.The x-coordinate of the vertex of g(x) is greater than the x-coordinate of the vertex of f(x)

Answer 1

• a. the y-intercept of f(x) is greater than the y-intercept of g(x)

Explanation:

Given function:

• f(x)=(x - 4)^2 - 4

We can work out the function from the table values:

• g(x) = (x + 2)^2 - 4

Options:

a. the y-intercept of f(x) is greater than the y-intercept of g(x)

• True. x= 0 ⇒ f(0) = (-4)^2 - 4 = 12, g(0) = 2^2 - 4 = 0

b. The y-intercept of g(x) is greater than the y-intercept of f(x)

• False. See previous option.

c. The y-coordinate of the vertex of f(x) s greater than the y-coordinate of the vertex of g(x)

• False. They are same = -4

d. The x-coordinate of the vertex of g(x) is greater than the x-coordinate of the vertex of f(x)

• False. -2 vs 4