Question

Find the vertex and y intercept of the quadratic function, and use them to graph the function​

Answer 1

Answer:  540 ft

Step-by-step explanation:

When given the equation in standard form y = ax² + bx + c,

the Axis of Symmetry can be found using the formula x = -b/(2a).

Plug that x-value into the given equation to find the y-value which represents the max (if "a" is negative) or the min (if "a" is positive)

y = -10x² + 160x - 100

      ↓          ↓        ↓

   a= -10   b=160  c= -100

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(160)}{2(-10)}\quad =\dfrac{-160}{-20}\quad =8$

Max: y = -10(8)² + 160(8) - 100

          = -10(64) + 1280 - 100

          = -640 + 1180

         =  540