SOLUTION: Write a quadratic function with the following features: x-intercept = (-3,0) and (1,0); y-intercept = (0,2).

SOLUTION: Write a quadratic function with the following features: x-intercept = (-3,0) and (1,0); y-intercept = (0,2).

Algebra.Com

Question 1092310: Write a quadratic function with the following features:
x-intercept = (-3,0) and (1,0); y-intercept = (0,2).
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

A quadratic polynomial with x-intercepts a and b is of the form

where c is some constant.

In your problem, with x-intercepts at -3 and 1, the polynomial is

To determine the value of the constant c, use the given information that the y-intercept (which is P(0)) is 2:

And the complete polynomial (in factored form) is

RELATED QUESTIONS
A graph has the following key features: Decreasing for x > 0... (answered by solver91311)

Write the equation of the line with x-intercept (�3, 0) and y-intercept (0,... (answered by jim_thompson5910)

Write the equation of the line with x-intercept (�3, 0) and y-intercept (0,... (answered by jim_thompson5910)

Write the equation of the line with x-intercept (14, 0) and y-intercept (0, 2). (answered by jim_thompson5910)

Please help write equation of: the line with x-intercept (3, 0) and y-intercept (0,... (answered by tutorcecilia)

write the equation y=a(x-h)^2+k with the given. with a y-intercept 10, x-intercept 2,... (answered by stanbon,solver91311)

1. State the key features listed for the following parabola: f(x)=-0.5(x+1)2-7 (answered by math_tutor2020)

Write the equation of the line with slope - 1/2 and y-intercept (0, 3). (answered by Earlsdon)

Write the equation of the line with slope -1/2 and y-intercept (0,... (answered by checkley75)