Question

match the characteristicsof a quadratic equation y=ax2+bx+c using a, b,&c?1. shifts up A, B, or c?2. points down AB, or C?3. shifts right- A, B, or C?4. width A. B, ora?5. y intercept A, B, or c? 6 soniftslett A, E, orc?

Answer 1

From the quadratic equation

$y=ax^2+bx+c$

1) Shift up is given by a>0

3) shift down is given by a<0

4) If |a| <1 the parabola is wider. If |a|>1 the parabola is narrower

5) y- intercept is c

In order to find the answer to options 2, 4 and 6, we need to rewrite the quadratic function in vertex or factored form.

The vertex form is

$y=a(x+\frac{b}{2a})+k$

then,

6) shift left is given by the term

$\frac{b}{2a}$