Vocabulary
Misc.
y-intercepts
Axis of Symmetry
Previous Practice
100
What is the name for a U-shaped graph in the quadratic equation?
Parabola
100

How do you find the maximum height?

Find the y-value of the vertex

100

 y=(x-2)(x+6)

-12

100
What is the formula for the axis of symmetry?
x=-b/2a
100

Factor m2 + 3m - 40 

(m-5)(m+8)

200
How do we call the highest or lowest point on a parabola.
Vertex
200
What is the y-intercept?
Point where the parabola crosses through the y-axis.
200

 Y=(x)(x-2)

0

200
What does the axis of symmetry do?
Axis of symmetry cuts the quadratic equation in half.
200

Factor  a2−   a − 90

(   a − 10)(   a + 9)

300

What is the name of the form for this quadratic equation? y = ax2 +bx + c

Standard form

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.

300

y=x2- 4

-4

300

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

x=-2

300

If g(x)=-3x2+x+5, determine the value of g(2).

-5

400
When the vertex is in the lowest part of the parabola, what is it called?
The minimum
400

What can the coefficient of an "a" term tell you about the size of the parabola? ax2+bx + c

a>1 makes the parabola shrink (skinner) a <1 makes the parabola stretch (fatter)

400

 y=x2- x - 2

-2

400

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

x=3

400

Solve

5<3x-10<17

5<x<9

500
How do we call the line that runs through the vertex and divides the parabola in half.
Axis of symmetry
500
Name at least 3 steps that you need to take to graph the quadratic function.
1. Find the axis of symmetry (Find x) 2. Find the value of y 3. Find vertex (x,y) 4. Plot vertex 5. Plot axis of symmetry 6. Use T-chart to plot at least 2 points 7. Use axis of symmetry to plot remaining points
500

 y= 3(x-5)2+2

77

500

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

x = 1

500

The graph of h is a translation 3 units right and 5 unit up of the graph f(x)=x2. Write function h in vertex form.

h(x)=(x-3)2+5

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