algebra two unit two review

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What is the equation for a linear equation?

y=x

What is the equation for a quadratic function?

y=x²

What is the equation for an absolutely value function?

y=|x|

What is an equation for a exponential function?

y=b^x

What is the equation for a square root function?

y=(pretend there is a square root over the x) x

What is the equation for transformations?

y=a(b(f(x)-h))+k

What does the a value do in the transformation equations?

vertical stretch or shrink, or reflect over the x-axis

How do you know when the a value is a vertical stretch or shrink?

If it is not a whole number, then it is a shrink. If it is a whole number, then it is a stretch

When does the a value make the transformation reflect over the x-axis?

If it is negative 

What does the h value in the transformation value do?

Shfit left or right. If it is positive, it goes left. If it subtracts, it goes right

What does the k value do in the transformation equations?

It shifts the function up and down. If it is subtracting, it goes down. If it is adding, it goes up

What is the original equation for transformations with an absolute value function?>

y=a|x-h|+k

What is the domain?

Input of the function (x-value)

What is the range of the function?

Output of the function (y-value)

What is the x-intercept?

Where the function intersects with the x- axis

What is the end behavior?

What does the end of the graph do

In the end behavior, if the infinity sign is negative, what side of the graph is it?

The left side 

What is the equation for a linear regression?

y^1~mx1+b

What is the equation of the quadratic regression?

y(1)~a(x^1-h)²+k

What is the vertex?

(h, k)

What is the axis of symmetry?

Axis of symmetry is the value of h