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Functions and Trigonometry Topic 1 Review Flashcards | StudBud
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Functions and Trigonometry Topic 1 Review
Functions and Trigonometry Topic 1 Review
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1
When solving a System of Linear Equations by graphing you are specifically looking for what to find the solution?
y-intercepts
Intersection
slopes
x-intercepts
2
What is a System of Linear Equations?
The set of all ordered pairs that simultaneously make all equations true.
A set of two or more first degree equations using the same variables.
A set of two or more second degree equations using the same variables.
Two or more functions that have an intersecting point.
3
What variable represents the slope in y=mx+b ?
m
b
y
x
4
What transformation occurs by the -9 in: f\left(x\right)=4\left(x-7\right)^2-9 ?
Vertical Translation Down 9
Horizontal Translation to the Right 9
Vertical Compress by a Factor of 9
Horizontal Translation to the Left 9
5
Solve this System of Linear Equations.
( -1 , 3 )
( - 3 , 1 )
( 3 , 1 )
( 1 , 3 )
6
What transformation occurs by the -7 in: f\left(x\right)=4\left(x-7\right)^2-9 ?
Horizontal Translation to the Left 7
Vertical Translation Down 7
Vertical Stretch by a Factor of 7
Horizontal Translation to the Right 7
7
In solving this system by substitution my first step could be to replace the x with y in the first equation.
True
False
8
What variable represents the y-intercept in y=mx+b ?
y
x
b
m
9
What is the Parent Function of f\left(x\right)=4\left(x-7\right)^2-9 ?
f\left(x\right)=-9
f\left(x\right)=4x
f\left(x\right)=x-7
f\left(x\right)=x^2
10
In solving this system by elimination my first step could be to subtract y from both sides of the second equation.
True
False
11
Solve this system of Linear Equations.
( 0.5 , 0 )
( 0 , 0 )
( 1 , 1 )
( 0.5 , 0.5 )
12
Which equation reflects f\left(x\right)=4\left(x-7\right)^2-9 over the y-axis?
f\left(x\right)=4\left(x-7\right)^2+9
f\left(x\right)=4\left(-x-7\right)^2-9
f\left(x\right)=-4\left(x-7\right)^2-9
f\left(x\right)=4\left(x+7\right)^2-9
13
A Linear Function (that is not a constant function) has a Domain and Range of...
All Positive Numbers including Zero
Wherever x = y
All Negative Numbers including Zero
All Real Numbers
14
This graph represents which type of transformation?
Vertical stretch by a factor of 2
Reflection across the x-axis
Reflection across the y-axis
Rotation about the origin 180\degree
15
A function whose graph is a straight line, that is, a polynomial function of degree zero or one.
Trigonometric Function
Absolute Value Function
Quadratic Function
Linear Function
16
What transformation occurs by the 4 in: f\left(x\right)=4\left(x-7\right)^2-9 ?
Vertical Stretch by a Factor of 4
Reflection across the Line y = 4
Horizontal Stretch by a Factor of 4
Vertical Translation Up 4
17
f\left(x\right)=a\cdot f\left[b\left(x-h\right)\right]+k can be used to represent which transformations EXCEPT...
Vertical and Horizontal Stretches and Compresses
Vertical and Horizontal Translations
Reflections across the x-axis and y-axis
Clockwise and Counterclockwise Rotations
18
Which is NOT a method of solving a system of Linear Equations?
Translating
Graphing
Substitution
Elimination
19
What form is this Linear Function in? y=mx+b
Slope Intercept Form
Point Intercept Form
Standard Form
Point Slope Form
