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2 years ago

Which is a translation of f(x)=|x|. Write the function rule for g(x)

Mathematics

1 answer:

eduard2 years ago

6 0

Answer:

g(x) = | x + 7 |

Step-by-step explanation:

The absolute value graph f(x)=|x| is a V-shaped graph with the vertex (tip, point) at (0,0). The graph shown has been translated (slid, shifted) 7 units to the left. Left or right shifts, horizontal shifts, are caused by an adjustment to the x. Horizontal shifts are also maybe the opposite of your intuition. Left shifts, you ADD to x. Right shifts, you subtract from x.

This is a left shift, so adjust the x by inserting a +7

f(x) = |x|

g(x) = | x + 7 |

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3 years ago

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3 years ago

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3 years ago

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Find the exact value of cos theta, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.

vova2212 [387]

Answer:

$cos \theta = -\frac{8}{17}$

Step-by-step explanation:

For this case we know that:

$sin \theta = \frac{15}{17}$

And we want to find the value for $cos \theta$ , so then we can use the following basic identity:

$cos^2 \theta + sin^2 \theta =1$

And if we solve for $cos \theta$ we got:

$cos^2 \theta = 1- sin^2 \theta$

$cos \theta =\pm \sqrt{1-sin^2 \theta}$

And if we replace the value given we got:

$cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}$

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$cos \theta = -\frac{8}{17}$

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2 years ago

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3 years ago

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