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Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), x seconds after diving, is modeled by h(x)=-5(x+1)(x-3) What is the height of Ana above the water at the time of diving? meters

Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), xx seconds after diving, is modeled by\newlineh(x)=−5(x+1)(x−3)h(x)=-5(x+1)(x-3)\newlineWhat is the height of Ana above the water at the time of diving? meters \text{meters}

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Q. Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), xx seconds after diving, is modeled by\newlineh(x)=−5(x+1)(x−3)h(x)=-5(x+1)(x-3)\newlineWhat is the height of Ana above the water at the time of diving? meters \text{meters}
  1. Diving Time: The time of diving is the moment when Ana leaves the springboard, which corresponds to x=0x = 0 seconds after diving. To find Ana's height at that time, we need to evaluate the function h(x)h(x) at x=0x = 0.
  2. Evaluate h(x)h(x) at x=0x = 0: Substitute x=0x = 0 into the function h(x)h(x) to calculate Ana's height at the time of diving.\newlineh(0)=−5(0+1)(0−3)h(0) = -5(0 + 1)(0 - 3)
  3. Substitute x=0x = 0 into h(x)h(x): Perform the calculations inside the parentheses first.\newlineh(0)=−5(1)(−3)h(0) = -5(1)(-3)
  4. Perform calculations inside parentheses: Multiply the numbers together to find the height.\newlineh(00) = −5×1×−3-5 \times 1 \times -3\newlineh(00) = 1515
  5. Multiply numbers together: Ana's height above the water at the time of diving is 1515 meters.

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