Answer:
y = 2.5(x + 2)^2 - 3
The answer is A
Step-by-step explanation:
The general equation for the vertex is
y = a (x + b)^2 + c
a we are not certain about
b = 2
c = - 3
y = a(x + 2)^2 - 3 Now we have to solve for a.
a is found by using the one point we know (0,7) It means when x = 0 y = 7 so just put those two numbers in.
7 = a(0 - 2)^2 - 3
7 = a (- 2)^2 - 3 Add 3 to both sides.
7 + 3 = a(4) Combine 7 and 3
10 = 4a Divide by 4
10/4 = a Do the actual division
2.5 = a
Answer: See above
The measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.
<h3>What is the scale factor?</h3>The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. It is a process of enlarging the image of an object by some factor.
here we have the scale factor
Since the triangle, TUV is dilated by the scale factor 1/3 then the sides of triangle will also be in the same dilation so we can write.
Hence the measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.
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