Question

linear parent function f is graphed on the grid. if h(x)=\frac{1}{2}f(x)-4, what is the value of h(30)? 11 guac greg was singing karaoke in the janitors closet, so cross off guac greg and janitors closet. -30 nacho nick was snacking, not scheming, so cross off nacho nick and \wanted to become taco royalty.\ 30 taco tina was eating cereal quietly, so cross off taco tina and
eeded a midnight snack.\ 68 burrito bob was practicing juggling skills, so cross off burrito bob and \thought it was a prize.\

Explanation:

Step1: Identify the linear parent function

The linear parent function \(f(x)=x\) (since the graph passes through the origin with a slope of 1).

Step2: Substitute \(x = 30\) into \(f(x)\)

When \(x = 30\), \(f(30)=30\).

Step3: Substitute \(f(30)\) into \(h(x)\)

Given \(h(x)=\frac{1}{2}f(x)-4\), substitute \(f(30) = 30\). Then \(h(30)=\frac{1}{2}\times30 - 4\).

Step4: Calculate \(h(30)\)

First, \(\frac{1}{2}\times30=15\). Then \(15 - 4=11\).

Answer:

11