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Y_Kistochka [10]
3 years ago
8

Describe the steps that transform the graph of the function y=x^2 to y=2(x+3)^2. Which attributes are not affected by the transf

ormation?

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

Step-by-step explanation:

shift 3 units left then stretch vertically 2 times

dolphi86 [110]3 years ago
7 0

Step-by-step explanation:

y=2(x+3)² y=x²

x²=2(x²+9+6x)

x²=2x²+18+12x

0=x²+18+12x

x²+18+12x=0

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Problem 1

Since point P is the tangent point, this means angle OPT is a right angle

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Let's use the Pythagorean theorem to find the missing side 'a'

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Let's use the sine and arcsine rule to find angle y

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Problem 2

Focus on triangle OHP. This may or may not be a right triangle. The goal is to test if it is or not.

We use the converse of the Pythagorean theorem to check.

Recall that the converse of the Pythagorean theorem says: If a^2+b^2 = c^2 is a true equation, then the triangle is a right triangle. The value of c is always the longest side. The order of a and b doesn't matter.

In this case we have

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