Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).

2 answers:

8 0

The y-value is the one on the right. Therefore, the y-value of P is 6. Following the rule, the y-value of P' is 6-16= -10.

Shkiper50 [21]3 years ago

4 0

P(–2, 6)

translated according to the rule (x, y) → (x – 2, y – 16)

P' will be:
P'(–4, -10)

So y value will be - 10

hope it helps

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Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.

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Type of change Effect on y = f(x)

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The graph is shown below. The first figure is representing $f(x) = x^2$ .

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According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shown below in second figure. It is clear that the graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shifted 6 units to the right as compare to the function $f(x) = x^2$ .