Question

A parabola has equation y = 4x² + x + c. One x-intercept is -3. What is the value of c?

Quadratic function and equation
ANSWERED
asked 2021-03-01
A parabola has equation \(\displaystyle{y}={4}{x}²+{x}+{c}\). One x-intercept is -3. What is the value of c?

Answers (1)

2021-03-02
The x-intercept corresponds to the point (-3,0). Substitute this point to the equation and solve for c: \(\displaystyle{0}^{{2}}={4}{\left(-{3}\right)}^{{2}}+{\left(-{3}\right)}+{c}\)
0=36+(-3)+c
0=33+c
-33=c
c=-33
0
 
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