Question

5

Answer 1

The quadratic function that passes through the point  (0,6), (3,15.8), and (9.5,0) is y = -0.6x² + 5.07x + 6

How to determine the quadratic function?

The points are given as:

(0,6), (3,15.8), and (9.5,0)

A quadratic function is represented as:

y = ax² + bx + c

Next, we substitute the points in the equation.

a(0)² + b(0) + c = 6

a(3)² + b(3) + c = 15.8

a(9.5)² + b(9.5) + c = 0

Simplify the expressions

c = 6

9a + 3b + c = 15.8

90.25a + 9.5b + c = 0

Solve for a, b and c using a graphing calculator

a = -0.6

b = 5.07

c = 6

Hence, the quadratic function is

y = -0.6x² + 5.07x + 6

Read more about quadratic functions at:

brainly.com/question/1214333

#SPJ1