Write an equation for each translation of y=|x|. 13 units down
2 answers:
Answer:
y = |x| - 13.
Step-by-step explanation:
We know that,
Translation is a transformation that shifts the figure in any direction by some scale factor.
The general form for horizontal translation of a function f(x) is f(x \pm k) and vertical translation is f(x) \pm k, where k is any constant.
We are given y = |x| and are required to translate it 13 units down.
Which means that we are asked to translate the function y = |x| vertically 13 units down.
So, comparing with the general form, we get that the equation for translating y = |x| 13 units down is y = |x| - 13.
It can also be seen below that the graph of y = |x| -13 translates the function 13 units down.
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Py +7 = 6y + qp
Solve the equation for y
To solve the equation for y we need to get y alone
Py +7 = 6y + qp
Subtract 6y from both sides
Py - 6y +7 = + qp
Subtract 7 from both sides
Py - 6y = + qp - 7
Now factor out y
(P - 6)y = qp - 7
Divide by P - 6 from both sides
Answer:
Step-by-step explanation:
Amplitude is twice the coefficent of the sine function. In this case,
Period is divided by the coefficent of x, in this case,
Phase shift, is how much you sum or subctract from x inside the sine, in this case .
Midline you get by hiding the sine and reading what's left, in this case, -4.