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zaharov [31]
3 years ago
5

The figure below is dilated with the center of dilation at the origin and a scale factor of

Mathematics
1 answer:
kompoz [17]3 years ago
5 0

Answer:

(-3,1)

Step-by-step explanation:

point p’s coordinates are (-9,3)

you need to multiply 1/3 by 9. you can look at this as 3 divided by -9 so it’s easier to answer. so now divide 3 by -9 and your answer is -3.

so -9 is now -3 (first coordinate)

then you need to multiply 1/3 by 3 so again, you can look at it as 3 divided by 3 so it’s easier. so now 3=1 (second coordinate)

ANSWER: -3,1

i hope this helps you with future questions like this! also sorry for late response

(sorry if the coordinates aren’t the same this is what was on mine)

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Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

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  • Distributive Property
  • Expand by FOIL (First Outside Inside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = x² + 3x³

f(x + h) is x = x + h

<u>Step 2: Simplify</u>

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  2. Expand by FOILing:               f(x + h) = (x² + 2hx + h²) + 3(x + h)³
  3. Rewrite:                                  f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
  4. Expand by FOILing:               f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
  5. Distribute/Expand:                 f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
  6. Distribute 3:                            f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
  7. Combine like terms:               f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
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