Relations and Functions & Direct Variation
Determine if the given relation is a function and tell why or why not.
(1,2), (-1,2),(2,5),(3.9),(6.-1)
What is yes because there are no repeats in the domain?
Identify the slope of the line through the points below:
(4,4) and (-2,3)
What is m=1/6?
Find the equation of the line with a slope of 2 and through the point (1,3) in standard form.
What is 2x-y=-1?
The equation for the graph of f(x) which has been translated 2 units up and 3 units to the left.
What is f(x+3)+2?
The shape of every absolute value graph?
What is "v-shaped"?
For the given function, find f(-2).
f(x)=x2 -3
What is 1?
Find the slope of the line through the points below:
(5,2) and (5,-1)
What is undefined or no slope?
Write an equation for the line with a slope of 0 and through the point (-4,7) in standard form.
What is y=7?
Write the equation of the graph f(x) which has been translated 4 units down and reflected across the x axis.
What is -f(x-5)?
Describe the transformations of the parent graph, abs(x), given the equation g(x)=2abs(x-5).
What is vertical stretch by a factor of 2 and translated 5 units to the right?
What is -4?
Find the equation of the line, in slope-intercept form, with a slope of -1/3 and through the point (5,-4).
What is y=(-1/3)x - 7/3?
Write the equation of the line through the points (0,0) and (3,-7) in standard form.
What is 7x+3y=0?
Write the equation for the graph of f(x) which has been translated 4 units up and reflected across the y axis.
What is f(-x)+4?
Identify the vertex and axis of symmetry for the graph f(x)=abs(x-3)+5.
What is a vertex of (3,5) and an axis of symmetry x=3?
If y varies directly with x and y=1/2 when x=4, find y when x=6.
What is y=3/4?
Write the equation in slope-intercept form.
3y+x=5
What is y=(-1/3)x + 5/3?
Write an equation of the a line through the points (2,3) and (3/5) in standard form.
What is 2x-y=1?
The tranformations of the parent graph, f(x), given h(x)=12f(x)+2.
What is a vertical stretch by a factor of 12 and translated up 2 units?
Identify the vertex and axis of symmetry for the graph f(x)=2abs(x-4).
What is a vertex at (4,0) with an axis of symmetry of x=4?
What is 3a+17?
The slope of a line of the form y=6.
What is zero?
Write the equation of the line parallel to x+2y=6 and through the point (8,3) in slope intercept form.
What is y=(-1/2)x+7?
The transformations of the parent graph, f(x), given g(x)=-f(2x)+3.
What is a horizontal compression by a factor of 1/2, reflected across the x axis and translated up 3 units?
Describe the two dimensional graph of y<4.
What is a horizontal dotted line through 4 and shaded below the line?