Question

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

Answer 1

Answer:

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

Step-by-step 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