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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

2. Standard Form of a Quadratic Function

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Exercise 14 Page 206

What information can the coefficients $a,$ $b,$ and $c$ give you?

Vertex: $(\frac{3}{2}, - 1 \frac{1}{2})$
Axis of Symmetry: $x = \frac{3}{2}$
Minimum Value: $- 1 \frac{1}{2}$
Range: $y \geq - 1 \frac{1}{2}$

Practice makes perfect

We have a quadratic function written in standard form.

y = a x^{2} + b x + c

This kind of equation can give us a lot of information about the parabola by observing the values of

a,

b,

and

c .

y = 2 x^{2} - 6 x + 3 ⇕ y = 2 x^{2} + (- 6) x + 3

We see that for the given equation,

a = 2,

b = - 6,

and

c = 3 .

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Subchapter links

Lesson Check p.206

Practice and Problem-Solving Exercises p.206-208

Standardized Test Prep p.208

Mixed Review p.208