Graphing Quadratic Functions - A

Vocabulary

100

What is the name for a U-shaped graph in the quadratic equation?

Parabola

200

How do we call the highest or lowest point on a parabola.

Vertex

300

What is the name of the form for this quadratic equation? 

y = ax² +bx + c

Standard form

400

When the vertex is in the lowest part of the parabola, what is it called?

The minimum

500

What do we call the line that runs through the vertex and divides the parabola in half.

Axis of symmetry

Misc.

100

What is the first step when solving quadratics using the quadratic formula?

Put the equation in standard form.

200

What is the y-intercept?

Point where the parabola crosses through the y-axis.

300

What can the sign of the coefficient of an "a" term tell you about the behavior of the parabola? 

ax² +bx + c

The a term tells you whether the parabola is facing upward or downward.

400

The direction of opening for this parabola: 

y=3x²+2x−5

UP

500

The

.                                  y=x² + 12x + 39

 vertex of this parabola. 

(-6,3)

x-intercepts

100

Name the x-intercepts (Give points where the parabola is crossing the x-axis) y=(x-2)(x+6)

(2,0) and (-6,0)?

200

Name the x-intercepts. Give points where the parabola is crossing the x-axis. Y=(x)(x-2)

(0,0) and (2,0)

300

Name the x-intercepts. Give points where the parabola is crossing the x-axis. y=x² - 4

(-2,0) and (2,0)

400

Name the x-intercepts. Use factoring, graphing or quadratic formula to find the points where the parabola crosses through the x-axis. y=x² - x - 2

(-1,0) and (2,0)

500

Name the x-intercepts (Give points where the parabola is crossing the x-axis) y=(x-2)(x+6)

(2,0),(-6,0)

Axis of Symmetry

100

What is the formula for the axis of symmetry?

x=-b/2a

200

What does the axis of symmetry do?

Axis of symmetry cuts the quadratic equation in half.

300

What is the axis of symmetry for this quadratic function? y=x² + 4x + 4

x=-2

400

What is the axis of symmetry for this quadratic function? y=x² -6x +9

x=3

500

What is the axis of symmetry for this quadratic function? x² + 1 = 2x

x = 1

Factoring

100

Use factoring or quadratic formula to solve the quadratic. m^{2 I} + 3m - 40 =0

x=5 x=-8

200

What is the quadratic formula?

                _______

x= -b+/- /b²-4ac

     ‐---------------

             2a

300

Use the factoring or quadratic formula to solve the quadratic. m²- m = 0

m = 0 m = 1

400

Use the factoring or quadratic formula to solve the quadratic. 4a² +16a -20 =0

a = 1 a = -5

500

X²  -2x -24=0

solve using any method

6, -4