Answer:
Step-by-step explanation:
First we have to find the coordinates of the original ordered pairs then we will do the translation.
Now we will add 3 to every x value and add a -2 to every y value.
When you do that you will get the new prime points.
They are parallel when the slopes are the same
example:
y=2x+3
y=2x-5
Answer:
-10
Step-by-step explanation:
Answer:
k = 13
Step-by-step explanation:
substitute x = x + 5 into f(x) , that is
f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL
= x² + 10x + 25 + 3x + 15 - 10
= x² + 13x + 30
compare this with f(x + 5) = x² + kx + 30
for the 2 expressions to be equal , then k = 13
1) split the range in three identical invervals of size [6 - 0] / 3 = 2
2) form three rectangles
2a) First rectangle: base 2, height f(2) = 2^2 + 1 = 5
area 1 = base * height = 2 * 5 = 10
2b) second rectangle: base 2, height f(2+2) = 4^2 + 1 = 17
area 2 = 2 * 17 = 34
2c) third rectangle: base 2 height f(4+2) = 6^2 + 1 = 37
area 3 = 2*37 = 74
3) total area = area 1 + area 2 + area 3 = 10 + 34 + 74 = 118
