Show:
Quadratic
Absolute Value
Squared
#of Turning Points in Even and Odd Functions
100
What form of Quadratic Functions is this: y=a(x-H)^2+k?
What is Vertex Form?
100
The Original Function is: f(x)=|x|, if you add one to get f(x)=|x|+1, what happens to the graph?
The graph shifts up 1.
100
The Original Function is: f(x)=x^2, your new function is f(X)=x^2+2. What happens to your graph?
The graph shifts up 2.
100
If y=x, The number of turning points is...
What is zero turning points?
200
What form of Quadratic Functions is this: y=ax^2+bx+c?
What is Standard Form?
200

The Original Function is: f(x)=|x|, if you subtract one to get f(x)=-|x|-1, what happens to the graph?

Reflect over the x axis, and then shifts down by 1.

200

The Original Function is: f(x)=x^2, your new function is f(X)=(x-1)^2-3. What happens to your graph?

The graph shifts right 1 down 3.

200
If y=x^2, the number of turning points is...
What is one turning point?
300
What form of Quadratic Functions is this: y=a(x-r)(x-r)?
What is Factored Form?
300

The Original Function is: f(x)=|x|, if your new function is f(x)=3|x-1|. How did the graph change?

The graph shifts to the right one, and IS STRETCHED VERTICALLY (narrower)

300

The Original Function is: f(x)=x^2, your new function is f(X)=-(x-4)^2. What happens to your graph?

Reflected over x axis (opens down), then The graph shifts to the right 4 times.

300
When an even function is positive it opens...
What is up?
400

To find the y-intercept of Standard Form you use..

C

400

The Original Function is: f(x)=|x|, if your new function is f(x)= -1/2|x+1|-4, what happens to your graph?

The graph is flipped over the x axis, compressed vertically (wider), then shifts to the left one, down 4

400

The Original Function is: f(x)=x^2, your new function is f(X)=1/3(X+5)^2. What happens to your graph?

The graph shifts to the left 5 times. It is also COMPRESSED VERTICALLY

400
For a function to be even, it must be raised to what degree?
What is second or fourth degree?
500
To find the vertex using Vertex Form you must put it into...
What is (h,k)?
500

The Original Function is: f(x)=|x|, your new function is f(x)=|3x|, what happens to your graph?

The graph is "compressed" horizontally....

(think about how the graph ACTUALLY looks)

500

FREE POINTS

FREE POINTS

500

This is an odd, positive, function: y=ax^3+bx^2+cx+d. What degree is it?

What is third degree?