Graph the line with slope 3/2 and y intercept -6
2 answers:
Step-by-step explanation:
Given the linear equation, y = 3/2x - 6:
where the slope, m = 3/2
and y-intercept, (0, -6).
I plotted the y-intercept on the graph, then used the slope (3 rise, 2 run) to plot the other points on the graph and create a line.
Attached is the screenshot of the graphed line.
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Answer:
Step-by-step explanation:
Use order of operations
PEMDAS
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
1. 50 squared because it is an exponent outside a parentheses
2. Numbers outside the parentheses are being multiplied by the numbers inside
<em><u>Concept example</u></em>:
3. Combine terms
For translations like this use the formula:
f(x) = (x - h)² + k
where h is the lateral movement/shifts on the x-axis and k is the vertical movement/shifts on the y-axis.
Since g(x) is a movement to the right 4 units and up 9 units, your h is a positive 4 and k is a 9:
g(x) = (x - 4)² + 9
Here's a picture of your original graph f(x) and your translation g(x)
f(x) = (x - h)² + k
where h is the lateral movement/shifts on the x-axis and k is the vertical movement/shifts on the y-axis.
Since g(x) is a movement to the right 4 units and up 9 units, your h is a positive 4 and k is a 9:
g(x) = (x - 4)² + 9
Here's a picture of your original graph f(x) and your translation g(x)