Answer:
x = 2
Step-by-step explanation:
y = - 5 is a horizontal line parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
Where c is the value of the x- coordinates the line passes through.
The line passes through (2, 7) with an x- coordinate of 2, thus
x = 2 ← is the equation of the perpendicular line
Answer:
the answer is 40:15
Step-by-step explanation:
Answer:
<em>75</em>
Step-by-step explanation:
Given:
f(1) = 100
f(n+1) = f(n) - 5
Solve for:
f(6)
Solution:
f(1) = 100
f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5
f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1) - 2 x 5
...
f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5
=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75
Hope this helps!
9514 1404 393
Answer:
y = -(x+1)^2 +3
Step-by-step explanation:
Translating f(x) left by 1 unit replaces x with x+1.
Translating f(x) up by 3 units replaces f(x) with f(x)+3.
Reflecting f(x) over the x-axis replaces f(x) with -f(x).
__
When y = x^2 is reflected over the x-axis, it becomes ...
y = -x^2
When y = -x^2 is translated 1 unit left, it becomes ...
y = -(x +1)^2
When y = -(x+1)^2 is translated 3 units up, it becomes ...
y = -(x +1)^2 +3
