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Find the standard form f(x) = a(x – h)² +k__of the quadratic function that has a vertex at and an X %3D 3 -intercept of – 2

Find the standard form f(x) = a(x – h)² +k__of the quadratic function that has a vertex at and an X %3D 3 -intercept of – 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Quadratic Function Standard Form** To find the standard form of a quadratic function, identify a function \( f(x) = a(x - h)^2 + k \) that has: - A vertex at \( \left( -\frac{1}{2}, -\frac{1}{9} \right) \) - An x-intercept of \( -\frac{3}{2} \) **Function:** \( f(x) = \) [Input Box]
Transcribed Image Text:**Quadratic Function Standard Form** To find the standard form of a quadratic function, identify a function \( f(x) = a(x - h)^2 + k \) that has: - A vertex at \( \left( -\frac{1}{2}, -\frac{1}{9} \right) \) - An x-intercept of \( -\frac{3}{2} \) **Function:** \( f(x) = \) [Input Box]
Expert Solution
Step 1

Given that:

vertex =-12,-19 and x-intercept =-32,0.

To find the standard form of the quadratic equation.

 

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