Let v = 9. What is the value of r in the equation r = 3 × v + 13?
1 answer:
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Answer:
(9, <u>81</u>) (<u>8</u>, 71)
Step-by-step explanation:
My explanation is in the picture. All I did was replace the known variable with the proper letter!
Answer:
Vertical shift of 3 units down ⇒ last answer
Step-by-step explanation:
* Lets revise the translation of a function
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Lets solve the problem
∵ The parent function y = √x
∵ There is a translation by k = -3
- From the rules above k is for the vertical translation
∵ k = -3
- That means the parent function translated 3 units down
∴ The value of k = -3 makes the graph of the parent function translated
3 units down
- For more understand look to the attached graph
# y = √x ⇒ the red graph
# y = √x - 3 ⇒ the blue graph
Convert all the equations to slope-intercept form:
Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.