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Function Notation
Domain & Range
Basic Transformations
Quadratic Functions
Circles
100

In the relation {(2, 5), (3, 5), (4, 9)}, this is the term for the set {5, 9}.

Range

100

The domain of the parent linear function, f(x) = x.

All real numbers


100

The transformation that changes the equation y = f(x) to y = f(x) + 3.  

Shift up 3
100

Identify the vertex of the function f(x) = (x-1)2 + 8.

(1,8)

100

The value of r in the standard form equation for a circle.

Radius

200

The variable that is manipulated or chosen first, which is typically graphed on the horizontal axis.

Independent Variable


200

The domain of the parent square root function.

x>=0

200

The transformation that changes the equation y = f(x) to y = f(-x).

Reflection over the y-axis

200

The line of symmetry for the function g(x) = 3(x+4)2 - 1.

x=-4

200

Identify the center of the circle defined by the equation (x-5)2 + (y+1)2 = 16.

(5,-1)

300

State the reason why the set of points {(7, -1), (2, 4), (7, 5)} is NOT a function.

What is that an input (7) has more than one output (-1 and 5)?

300

State the range of the quadratic function f(x) = -2(x+1)2 + 5.

y<=5

300

Describe the combined transformations that change f(x) to g(x) = f(x-2) - 5.

Shift right 2 and down 5

300

Write the equation of a quadratic function with a vertex at $(-3, 0)$ that opens upward.

y=(x+3)2

300

Find the radius of the circle defined by the equation x2 + (y-3)2 = 25.

5

400

If f(x) = x2 - 3x, evaluate f(-2)

10


400
What is the domain and range of an absolute value function that has been reflected over the x-axis and translated up 3 and right 6?

Domain: all real numbers

Range: y<=3

400

The transformation applied to f(x) to get g(x) = 6f(x).

Vertical stretch by a factor of 6

400

The shape of a parabola that ensures it will have no x-intercepts if its vertex is at (2, 5).

Opens upward

400

Write the standard form equation of a circle with a center at $(-4, 0)$ and a radius of 9.

(x+4)2+y2=81

500

Write the function notation for the statement: "The value of the function h at x is equal to 10 less than twice the square of x."

What is h(x) = 2x2 - 10?

500

State the domain and range for the transformed square root function h(x) =sqrt{x+7} + 3.

Domain: x>=-7

Range: y>=3

500

Write the equation of a function g(x) that results from reflecting f(x) = sqrt{x} over the x-axis and shifting it 4 units left.

What is g(x)=-sqrt(x+4)

500

Write the equation of the parabola formed by vertically stretching y=x2 by a factor of 2, reflecting it over the x-axis, and shifting it 7 units down.

y=-2x2-7

500

Write the standard form equation of a circle that has a center at (2, -3) and passes through the point (2, 0).

(x-2)2 + (y+3)2 = 9