Show:
VOCABULARY
AXIS OF SYMMETRY
VERTEX
SOLVE QUADRATICS
GRAPHS
100
The u-shaped graph shown by a quadratic.
What is a PARABOLA?
100
This is the formula for the axis of symmetry.
What is x = -b/2a ?
100

How do you go from standard form to vertex form?

Complete the square

100

Given the three points what is the quadratic equation in standard form?

(0,5) (2,1) (1,2)

y=x2 -4x+5

100

What does the graph of a parabola look like when a is less than zero?

opens downward: sad face

200
The line that passes through the vertex and divides a parabola into two symmetric parts.
What is the AXIS OF SYMMETRY?
200
This is the axis of symmetry for the equation y = 2x^2 + 8x – 5.
What is x = -2?
200

y = 4x^2 + 7 has its vertex at this point

What is (0,7)?

200

Find the solutions to the equation by Factoring: x^2 - 25 = 0.

HINT: remember the x value is the opposite of what you see if (x-3) then the answer is positive 3

 -5 and 5

200

What does the graph of a parabola look like when a is greater than zero?

opens upward: smiley face 

300
The lowest or highest point on a parabola.
What is the VERTEX?
300
This is the axis of symmetry for y=3x^2+6x-2
What is x = -1?
300
The vertex of y = x^2 is this ordered pair.
What is (0,0)?
300

Solve by factoring: : x^2 + 8x + 16 = 0

 

 x = -4

300

What transformation occurs in y = x^2 + 2 from the parent function?

Up 2

400

This is where a parabola crosses the x-axis.

What are x-intercepts, roots and zeros?

400
This is the axis of symmetry for y = -4x^2 + 3.
What is 0?
400
This point is the vertex of y = -3x^2 + 18x - 13.
What is (3,14)?
400

Convert to vertex form : y=x2 -4x +5

y=(x-2)2 +1

400

Does g(x) = 1/2x^2 - 5x + 4 show a vertical dilation or compression? How do you know?

Vertical Compression, a < 1

500
This is the standard form of a quadratic equation.
What is ax^2 + bx + c = 0 ?
500

Why does the axis of symmetry equation always start with x=...?

Because of VUX : Vertical line 

500
The vertex of y = -4x^2 + 3 is this.
What is (0,3)?
500

Solve by factoring : x^2 + 4x = 0

HINT: remember the x value is the opposite of what you see if (x-3) then the answer is positive 3

 -4 and 0

500

Describe the transformations that occur in g(x) = (-1/2x + 3)^2 - 9

Reflection over y-axis

Horizontal Stretch

Left 3

Down 9