Answer:
h(x + 1) = 5x² + 10x + 2
Step-by-step explanation:
Step 1: Write out function
h(x) = 5x² - 3
Step 2: Plug in x + 1 for x
h(x + 1) = 5(x + 1)² - 3
Step 3: Expand
h(x + 1) = 5(x² + 2x + 1) - 3
Step 4: Distribute
h(x + 1) = 5x² + 10x + 5 - 3
Step 5: Combine like terms
h(x + 1) = 5x² + 10x + 2
