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VMariaS [17]
3 years ago
12

Which of the following graphs is described by the function given below? y=x^2-6x-7

Mathematics
1 answer:
mojhsa [17]3 years ago
4 0

Answer:

Step-by-step explanation:

If we have to find the graph described by a function then we should try to convert the equation into vertex form first.

Here given equation of the parabola is y = x² - 6x - 7

Then we will convert this equation into the vertex form.

y = x² - 2×(3x) + 9 - 16

y = (x - 3)² - 16

So the vertex of the given parabola is (3, -16).

Now we have understood that parent function y = x² have been shifted 3 units right and 16 units down.

Therefore, the given translated parabola will be in the shape of attached figure.

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Which transformation will always produce the same image as a rotation 90° counterclockwise?
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b.a rotation 270 clockwise

Step-by-step explanation:

8 0
2 years ago
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C

Step-by-step explanation:

Rotation 90 degrees counter clockwise rule (x,y) -----> ( -y , x )

In order to find the answer we must first find the coordinates of the pre image

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x (1,-1)

y (4,-1)

z (4,-4)

Now we apply the rule stated previously

( The rule explanation: the x and y values swap and the y values sign changes. So if the y value was previously positive, after a 90° counter clockwise rotation, the y value will then be negative)

x (1,-1) -----> swap x and y values ( -1,1) ------> flip sign of new x value ( 1 , 1 )

y (4,-1) ------> swap x and y values ( -1,4) -----> flip sign of new x value ( 1 , 4 )

z (4,-4) -----> swap x and y values ( -4,4) ------> flip sign of new x value ( 4,4)

the new coordinates are X' (1,1) , Y' (1,4) , Z (4,4)

Hence the answer is C

5 0
2 years ago
Read 2 more answers
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