# Math

compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following?

a.it makes the graph narrower than the parent function.
b.it makes the graph wider than the parent function.
c.it causes the graph to reflect across the x-axis and open downward
d.it shifts the vertex of the graph vertically

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1. since it changes y by -6, what do you think?

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2. I think that it is B but I am not quite sure.

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3. So what do you think?

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4. changing y moves the graph up and down

Take a look at
y = -2x^2
y = -2x^2-6

You can do multiple graphs at
wolframalpha.com
desmos.com

or, use your own graph paper!

B involves compressing the graph horizontally. That is, a smaller value for x produces the same value for y

In this case, y=2x^2 = (√2 x)^2

So, The 2 involves a horizontal compression.

Alternatively, y = 2x^2 stretches the graph vertically, since it doubles the y-value for any particular value of x.

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5. 1.C
2.B
3.D
4.A
These are the Quick Check Answers
Quadratic Graphs and Their Properties 4. Quadratic Functions and Equations > 1. Quadratic Graphs and Their Properties

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