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dalvyx [7]
3 years ago
14

Rewrite the function to make it easy to graph using transformation of its parent function. Describe the graph. y = squ(25x - 25)

- 4
y = ______

The graph (stretches or shrinks?) vertically by a factor of _____ and is translated ___ unit(s) to the (left or right?) and ____units(s) (up or down?)
Mathematics
1 answer:
Mariana [72]3 years ago
3 0
Parent function is y=√x
result is
-4+√(25(x-1))

-4 was added to whole function so translated 4 units down
it every x was multipied by 25  so horizontally stretched bya factor of 25
then, minus 1 from every x to move to right

so the blanks are
strech 25, 1 to the right, 4 down
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Which of the following is not equal to sin⁡(-230°)?
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From trigonometry we know that:

if sin(\theta)=sin(\alpha)

then, \theta=n\pi+(-1)^n\alpha (where n is an integer)

This can be rewritten in degrees as:

\theta=n(180^{\circ})+(-1)^n\alpha.............(Equation 1)

Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

For n=2, (Equation 2) gives us: \theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}.

Thus, sin(230^{\circ})=sin(130^{\circ})

Now, we know that: -sin(-50^{\circ})=sin(50^{\circ})

Let n=-1, then:

\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}

Thus, sin(-230^{\circ})=-sin(-50^{\circ})

Likewise, sin(-230^{\circ})=sin(50^{\circ})

Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

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3 years ago
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Just plus in x for -3
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Answer:

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Step-by-step explanation:

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