Transformations
Linear Equations
Nonlinear Equations
Equations and Inequalities
Spiral Review
100
This variable determines the vertical translation.
k
100
Write the equation in slope intercept form that has a slope of 1/5 and a y-intercept of -3.
y=(1/5)x-3
100
If y=a|x-h|+k, what is the vertex?
V(h,k)
100
If an inequality has the symbol y < .... would you shade above or below the graph?
below
100
Simplify the expression.
40
1
200
Translate f(x)=|x| so that the vertex is at (4,1)
f(x)=|x-4|+1
200
Give the x and y-intercepts of -x-3y=-9.
x-intercept = 9
y-intercept = 3
200
This variable is used as a "slope" and can also determine whether a graph opens up or down.
a
200
What shape would the graph of this inequality be?
y<=|x+1|
V
200
If f(x) = 14 - x, find f(-3).
f(-3) = 17
300
Write a rule g(x) for the transformations down 7 and reflect over the y-axis.
g(x) = f(-x)-7
300
Give the point and the slope from the equation y+1=(1/2)(x-3)
slope = (1/2)
Point = (3, -1)
300
This formula is used to find the axis of symmetry when a quadratic function is in standard form.
x=b/(-2a)
300
Would the following equation have a solid or a dashed line? y<x2-x+3
Dashed
300
Write the equation with a slope of -4 and contains the point (1, -3) in slope-intercept form.
y=-4x+1
400
Transform y=-2(x+2)+2 into standard form.
y=-2x2-8x-6
400
Write and equation in slope-intercept form that goes through the point (-2,1) and is perpendicular to y=(2/3)x-3.
y=(-3/2)x-2
400
Give the vertex of the function f(x)=-42|x+73|-15
V(-73,-15)
400
Graph the following problem.
y>=-3|x+1|
Check their graph.
400
Simplify.
((xy^3)/(4x^4y^3))^3
1/(64x^9)
500
Perform the following transformations to f(x) = (x+6)2+1.
Vertically stretched by 3 and moved down 9.
g(x)=3(x+6)2-8
500
Write an equation in Standard Form that goes through the points (1, -1) and (0,-2).
-x + y = -2
or
x - y = 2
500
Find the vertex of y=3x2-6x-4.
V(1,-7)
500
Graph the following function.
y=x2+6x+5
Check Graph.
500
If f(x)=x2+3 and g(x)=4x-3, find (gh)(-1). Be sure to show your work.
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