Answer:
f(x) = 3
+ 2
Step-by-step explanation:
Given G(x) = 
As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)
=> f(x) = a
+ 2
As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3
and there is no reflection, so a= 3
=> the equation of f(x) is: f(x) = 3
+ 2
Answer:
Z' = (-5,3)
Step-by-step explanation:
Move two to the (<- left) from -3,5 to get -5, 5
move two down to get -5,3
Answer:
<u>Given equation:</u>
<u>To find the y-intercept, evaluate the equation with x = 0:</u>
- y = 10*0 - 32
- y = 0 - 32
- y = -32
<u>To find the x-intercept, evaluate the equation with y = 0:</u>
- 0 = 10x - 32
- 10x = 32
- x = 32/10
- x = 3.2
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m =
=
, thus
y =
x + c ← is the partial equation
To find c substitute either ot the 2 points into the partial equation
Using (2, - 3), then
- 3 =
+ c ⇒ c = - 3 -
= - 
y =
x -
← equation of line
Answer:
4( t - 7) ( t - 3 )
Step-by-step explanation:
4t² - 40t + 84
4(t² - 10t + 21)
4( t - 7) ( t - 3 )