Answer:
Horizontal shift:
For the parent function f(x) and a constant h, the function given by g(x) = f(x-h) can be sketched by shifting f(x) h units horizontally.
The values of h determines the direction of shifts:
If :
- h>0, the parent graph shifts h units to the right
- h < 0, the parent graph shifts h units to the left.
Vertical shifts:
For the parent function f(x) and a constant k, the function given by g(x) =f(x) +k can be sketched by shifting f(x) k units vertically.
The value of k determines the direction of shifts;
if:
-
k > 0, the parent graph shifts k units upward, and
- k < 0, the parent graph shifts k units downward.
Therefore, the values of h and k in y=|x-h|+k affect the graph of y=|x| tells us how far the graph shifts horizontally and vertically.
Answer:
boys = 9 ( eighth grade ) + 1 ( seventh grade) = 10 boys
girls = 3 (eight grade) + 9 ( seventh grade) = 12
probability = 22÷ 2
= 1/11
<h3>
Answer:</h3>
y = 2x + 5
<h3>
Step-by-step explanation:</h3>
<u>Definitions</u>:
Slope Intercept form; y = mx + b
m = slope
b = y intercept
Step 1: Since the slope is given plug it into y = mx
y = 2x + b
Step 2: Plug a points' x and y into their corresponding spots to solve for b
(33) = 2(14) + b
Simplify and solve
33 = 28 + b
-28 -28
5 = b
Plug both your slope in and your y intercept into y = mx + b
y = 2x + 5
Whenever you get questions like these you can turn the percentage into a decimal by adding a point at the beginning of a number then multiply the decimal by the number you need to find a part of
So 7×6=42 and 7×4=28 GCF is 7 so 7x(6x+4)
