Question

Use a graphing calculator to graph the original function y=12x−4
and the vertically dilated function with a factor k=6
. Determine the x-intercepts of both functions.(1 point)

The original function has an x-intercept of (−8,0)
, and the dilated function has an x-intercept of (−8,0)
.

The original function has an x-intercept of (8,0)
, and the dilated function has an x-intercept of (48,0)
.

The original function has an x-intercept of (8,0)
, and the dilated function has an x-intercept of (8,0)
.

The original function has an x-intercept of (0,−4)
, and the dilated function has an x-intercept of (0,−24)
.
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Answer 1

Solve 0 = 12x − 4 ⇒ 12x = 4 ⇒ x = 1/3. So the original x‑intercept is (1/3, 0).

After vertical dilation by k = 6: y = 6(12x − 4) = 72x − 24.
Solve 0 = 72x − 24 ⇒ 72x = 24 ⇒ x = 1/3. So the dilated x‑intercept is also (1/3, 0).

Thus both x‑intercepts are (1/3, 0). None of the provided answer choices list this point.