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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?

Respuesta :

From the quadratic equation

[tex]y=ax^2+bx+c[/tex]

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

[tex]y=a(x+\frac{b}{2a})+k[/tex]

then,

6) shift left is given by the term

[tex]\frac{b}{2a}[/tex]

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