<h2><u>
Answer:</u></h2><h3>

</h3><h2><u>
</u></h2><h2><u>
Solution Steps:</u></h2>
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<h3>1.) Graph each equation:</h3>
(I've included the graphs below.)
So your answer is c,
.
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Answer:
g(x) = 2x² + 1
Step-by-step explanation:
The parabola got thinner, so to show that, you put a 2 <u><em>before</em></u> x²<em> </em>to show that the graph was <em>dilated </em>(or thinned) by a factor of <em>2 </em>(Note: this number can also be <em>negative</em>, so if the dilation factor is negative, it's okay). Since the parabola shifts up by <em>1</em>, you then add + 1<em> </em><em><u>after</u></em> x² to show the positive upward shift.
Your full equation would look like this: g(x) = 2x² + 1
Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.
Answer:
- 39/8y
Step-by-step explanation:
First you need to find a common denominator:
There is already a y in both denominators, so you don't have to worry about that. Since only one denominator has an 8, the other needs to have an 8, so you need to multiply the first fraction by 8 → - 4/y * 8 = - 32/8y
From here you can subtract the numerators:
- 32/8y +(- 7/8y) = - 39/8y
Because you are adding a negative to a negative, it makes the number mroe negative
I hope this helps!