Section 5.8 Writing Quadratic Functions In Standard, Vertex And Intercept Form Worksheet

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Section 5.8: Modeling with Quadratic Functions
Forms of Quadratic Functions
Standard Form
y = ax
+ bx + c
2
Vertex Form
y = a(x – h)
+ k
2
Intercept Form
y = a(x – p)(x – q)
Examples:
1. Write a quadratic function in vertex form that has vertex (-2,1) and
passes through the point (1,-1).
2. Write a quadratic function in intercept form that has x-intercepts 4
and 1 and passes through the point (2,-6).
3. Write a quadratic function in standard form that passes through the
points (2,-2), (3,4), and (0,-2).

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