Answer:
B) f(x) = -16(x - 1.5)² + 40
Step-by-step explanation:
The equation we have is: h(t) = -16x² + 48x + 4
The answers are all in vertex form, so we need to covert this equation into vertex form by completing the square.
Step 1: factor out -16 from the first 2 terms...
-16(x² - 3x) + 4
Step 2: complete the square on this term...
-16(x² - 3x + (3/2)² - (3/2)²)
-16(x² - 3x + (3/2)²) + 4 + 16(3/2)²
-16(x - 3/2)² + 4 + 16(9/4)
-16(x - 1.5)² + 4 + 4(9)
-16(x - 1.5)² + 40
So f(x) = -16(x - 1.5)² + 40
