Quadratics Review

Formulas

100

The x value of the vertex. 

Axis of symmetry

200

y= a(x-h)² + k 

Vertex form

300

y= ax² + bx + c

Standard form of a quadratic equation

400

y = (x-s)(x-r) 

Factored form

500

y=mx+b 

The equation for linear functions

Vertex/Intercepts

100

What is the y-intercept of y = x² + 2x - 6 

y = -6 

or

(0,-6) 

200

What is the vertex of y = (x+5)² - 1

(-5,-1)

300

What are the x intercepts of y = (x+1)(x-4)

(-1,0) (4,0)

or 

x = -1,4 

400

What is the vertex of y = -4(x-3)²

(3,0)

500

What are the x-intercepts for y = x²+3x +2 

(-2,0) and (-1, 0) 

or 

x = -2, -1 

Graph Openings

100

Does the graph of this equation open up or down? y = (x+2)(x-1)

Opens Up

200

Does the graph of this equation open up or down? y = -4(x-2)² + 2

Open Down

300

Does the graph of this equation open up or down? y = 2(x-1)² - 6

Open Up

400

Does the graph of this equation open up or down? y = 5(x+5)(x-2)

Open Up

500

Does the graph of this equation open up or down? y = -3(x+4)² - 2

Open down

Standard Form

100

Write the following quadratic function in standard form. y = (x-2)² + 6

x² - 4x + 10

200

Write the following quadratic function in standard form. y = 3(x-3)² - 12

3x² - 18x + 15

300

Write the following quadratic function in standard form. y = 4(x+1)(x+2)

4x² + 12x + 8

400

Write the following quadratic function in standard form. y = 3(x-1)² + 5

y = 3x² - 6x +8

500

What piece of information about a graph is standard form the best for? 

Provided the y-intercept 

Transformations

100

What is the horizontal translation for the following equation: 

y=5(x-4)²+17 

4 units to the right 

200

What would be the vertical translation of the following graph when compared to the parent function: 

y = 1.8 (x+ 2.4)² + 2.4 

2.4 units up

300

Would the following graph be stretched or compressed when compared to the parent function y=x²:

y =23(x-8)² - 13

Stretch

400

What part of the vertex form equation tells us if there has been a reflection of the graph? 

y= a( x-h)² + k

If a is negative or not. 

If it is negative there is a reflection (flip) 

500

What is the parent function we often compare our quadratics to? 

y = x²