Question

Use quadratic regression to find

Answer 1

The equation of the parabola is y = 5x² - 11x - 31

Parabola

The equation of a parabola is a quadratic equation in the form:

y = ax² + bx + c

Where a, b and c are constants.

At point (2, - 33):

• -33 = a(2)² + b(2) + c
• 4a + 2b + c = -33      (1)

At point (4, 5):

• 5 = a(4)² + b(4) + c
• 16a + 4b + c = 5     (2)

At point (5, 39):

• 39 = a(5)² + b(5) + c
• 25a + 5b + c = 39      (3)

Solving equation 1, 2 and 3 simultaneously gives:

a = 5, b = -11, c = -31.

The equation of the parabola is y = 5x² - 11x - 31

Find out more on parabola at: brainly.com/question/4148030