Question

Which statement about the graphs of h(x)=−2x+4 and k(x)=4x−4 is correct?

A: The x-intercept of k(x) is half the x-intercept of h(x).

B: The graphs are parallel.

C: The graphs both cross the y-axis at the same location.

D:The slope of k(x) is twice the slope of h(x).

Answer 1

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Explanation:

Answer 2

A: The x-intercept of k(x) is half the x-intercept of h(x)

Explanation:

Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.

Hence answer choices B, C, and D can be eliminated.

The x-intercepts are found by setting y=0 and solving for x:

h(x) = 0 = -2x +4 ⇒ x = 4/2 = 2

k(x) = 0 = 4x -4 ⇒ x = 4/4 = 1

The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A