Algebra I - Units 1/2

GEMDAS

100

4+7*2+8

What is 26?

200

(5-3)²/4

What is 1?

300

8²-16/2²*4-3

What is 45?

400

(2x+3y)/(x+1) where x=-2 and y=4

What is -8?

500

8-3[-2(5-7)-5(4-2)]

What is 26?

Transformations

100

Name the transformations that occur:

f(x)=4(x+2)²-6

Stretched by 4

Left 2

Down 6

200

Name the transformations that occur:

f(x)=1/5 (x-2)²-5

Compress by 1/5

Right 2

Down 5

300

Name the transformations that occur:

f(x)=-2(x+1)²-2

Reflection

Stretch by 2

Left 1

Down 1

400

Write an equation for a parabola that has been shifted up 4 units and right 2 units.

f(x)=(x-2)²+4

500

Write the equation for a parabola with a vertex at (5,2).

f(x)=(x-5)²+2

Domain/Range

100

What is domain?

All possible x-values/left to right on a graph.

200

What is range?

All possible y-values/bottom to top on a graph.

300

The test used to check if a graph is a function.

What is the vertical line test?

400

What symbol do you use when there is an open circle on the graph?

<

500

Draw a picture of a graph that is not a function.

*Anything that fails the Vertical Line Test.

Standard Form

100

Does f(x)=2x^2+8x+9 have a maximum or minimum?

Minimum

200

Find the y-intercept of f(x)=2x²+8x+9

(0,9)

300

Find the axis of symmetry of f(x)=-x²+4x-8

x=2

400

Find the vertex of f(x)=2x²+4x

(-1,-2)

500

Graph y=2x²+5

*Parabola opening up with vertex at (0,5)

Multiplying Polynomials

100

(x+3)(x+5)

x²+8x+15

200

(7x-4)(x+6)

7x²+38x-24

300

(x+2)(x²+4x-1)

x³+6x²+7x-2

400

(2x²+x-3)(x²-2x+5)

2x⁴-3x³+5x²+11x-15

500

(5s-2)²

25s²-20s+4