Understanding Quadratic Equations

Front

What are the three forms of

Quadratic Equations?

Back

can be written in standard form, factored form, or vertex form

Front

Back

Front

Factored Form

How do you find x-intercepts from factored form?

Back

Factored form is good for finding x-intercepts because you set each factor =0 to find them

ex: x+3=0 and x-2=0

so x=-3 and 2

Also, the axis of symm is exactly half way between the intercepts

Front

Vertex Form

How do you identify the vertex from vertex form?

Back

Vertex form is good for quickly finding vertex (h,k)

Also, you can solve the equation by settinng y=0 and then using inverse operations / square roots

Front

Quadratic Formula

Back

You can use this to find the solutions (x-intercepts) if the equation is in STANDARD FORM by substituting the a, b, and c values

Front

Coefficient a

Back

The a-value determines the parabola's direction and width.

Tags

CCSS.HSF-IF.C.7A

Front

What is the significance of the Constant "c"

when the equation is in standard form?

ax² +bx+c=0

Back

Represents the y-intercept of the parabola. IF THE EQUATION IS IN STANDARD FORM

Front

Completing the Square

Back

A method to convert standard form to vertex form.

Front

How do you solve by factoring?

Examples:

x² +6x+8=0

x²+6x=12

2x²-x-6=0

Back

Factor, then use zero product property to find x-intercepts

Front

Solve an equation that is in vertex form:

Example solve

f(x)=(x+2)²-9

Back