domain/range
evaluate the function f(x)=-3x+5
f(-2)
f(-2)=11
name that transformation.
g(x) = 4f(x) + 1
vertical stretch (*4)
vertical translation up 1
equation through (3, 1) and (5, -2)
in point slope form
y-1 = -3/2 (x-3)
OR y+2 = -3/2 (x-5)
Write an equation for a line that is perpendicular to the line x = − 2 and passes through the point (1, 5).
y=5
What is the domain of the equation y=1/2x -4
all real numbers
evaluate the function g(x)=2/3x -1
g(6)
g(6)=3
What is the equation of a vertical line through (3, -4)?
x= 3
Write the equation of a line that has a m=2 and goes through (-1, -3) in slope-intercept form.
y=2x-1
Write an equation for a line that is parallel to the line x = 5 and passes through the point (− 2, 3).
x= -2
What isLavon is driving to visit a college campus. The distance he drives is directly proportional to the amount of time he has traveled. When Lavon has driven 2 hours he has traveled 130 miles. How long has he been driving if he traveled 195 miles?
3 hours
evaluate the function h(x)= 2x -18
h(x)=0
x=9
f(x)= 2
g(x)= 1/2f(x)
what is the slope of g(x)?
m=0
zero slope, horizontal line.
write the equation in slope intercept form.
7x − 4y = − 28.
y=7/4 x +7
What is the equation of a line parallel to y = 1/3x − 4 that passes through (9, 8)? in point slope form
y-8 = 1/3 (x -9)
evaluate f(x) = -1/2x +3
f(x)= 5
f(-4)= 5
x=-4
At the beginning of the golf season, Karl buys 84 golf balls. He loses 2 balls each time he plays a game.
x is games, y is golf balls. what is an acceptable range?
0<y<84
whole numbers 0 to 84
name that transformation.
g(x) = -1/2 f(x-5)
reflection
vertical compress (*1/2)
horizontal translation right 5
rewrite the equation in slope intercept form.
− 4x − 5y = 40
y= -4/5x -8
What is the equation of a line perpendicular to y = 2x − 6 that passes through (5, 4).
in slope intercept form
y= -1/2x +6.5
What would be the slope of the line parallel to the 4x-6y =14
m= -2/3
Jordan has a job delivering newspapers. Each Sunday, she earns $24.75 plus $0.20 for each house she delivers to.
x is houses, y is money. what is an acceptable domain?
x>0
whole numbers greater than or equal to 0
f(x) = 1/2 x + 2 is dilated vertically by a factor of 2 and translated 4 units down.
what is the new equation?
write an equation in slope intercept form that goes through these two points.
(-2, -7) and (8, -3)
y=2/5x -6.2
What is the equation of a line perpendicular to 3x + y = 4 that passes through (− 1, 6)?
in slope-intercept form.
y= 1/3x +5.667
write this equation in slope intercept form.
y-2 = 1/3 (x+ 9)
y= 1/3x +5