Unit 5: Quadratic Functions

Types of Functions

100

an equation with the highest exponent of 1 and a graph of a line

LINEAR

200

an equation with X as the exponent

exponential

300

an equation with the highest X exponent of 2

Quadratic

400

A type of Function with a common difference or constant slope

Linear

500

A ball thrown off a building is modeled by this function.

Quadratic

Parts of a Parabola

100

What is the axis of symmetry?

extra pts for algebraically

x=1

200

what is the vertex?

extra points for algebraically

(1,8)

300

What is the y-intercept?

Extra points for algebraically..

7

400

What are the roots?

Extra points for algebraically

-3 and 5

500

What is the equation?

Extra points for algebraically.

y= -.5x² + x + 7.5

Solving Quadratics

100

Solve x² - 4 = 0 

x = 2  and x = -2 

200

Solve x² - 5x + 6 = 0 by FACTORING

x = -2 and x = -3

300

Solve x² + 2x - 24 by COMPLETING the SQUARE

x = 4 and x = -6

400

Solve x² + 14x + 48 = 0 by using the QUADRATIC FORMULA

x = -6 and x= -8 

500

Solve for the roots using any method.

y= 2x² +6x - 20

x=2 and x=-5

Finding x and y

100

If f(x) = x + 1

What is f(2)? 

f(2) = 3

200

f(x) = -3x + 4

f(6) = 

f(6) = -14

300

f(x) = -5x² - x 

f(-1) = 

f(-1) = 4

400

f(x) = 5x + 3 - x²

f(-3) = 

f(-3) = -21

500

f(x) = x - 2 

g(x) = 3x + 1

f(g(x)) = 

f(g(x)) = 3x+1 - 2

Finding the Equation

100

Find the equation of the following table:

x____y
0       5

2       10
4       15

y= 2.5x + 5

200

Find the equation of the following table:

x      y
0     -3
1     -4
2     -3

y= x² -2x - 3

300

Find the equation of the following table:

x     y
0     2
1     6
2     18 

y= 2(3)^x

400

Find the equation of a line with a slope of 2 and that passes through the point (0, -5).

y= 2x - 5

500

Find the equation of a parabola with a root at 3 and 5 and maximum at (4, 1)

y=-x² + 8x - 15