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alukav5142 [94]
3 years ago
10

What is true of the function g(x)=-2x^2+5?

Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer:

Step-by-step explanation:

Next time, please try to make your question more specific.

g(x)= -2x^2+5 is a modification of f(x) = x^2 (a parabola with vertex at (0, 0) and opening up).

If f(x) = x^2 is graphed, we can translate its shape up, down, right or left.

In g(x)= -2x^2+5, this graph has been translated up by 5 units, inverted (so that it now opens down), and vertically stretched by a factor of 2.

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PLEASE HURRY!! 30 POINTS<br><br> simplify<br><br> 7/3+3(2/3−1/3)^2
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4 years ago
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Hi. I need help with these questions.<br> See image for question.
Charra [1.4K]

Answer:

(a) P(1) = 3

(b) P(-2) = 15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

P(x) = x³ + 4x² - 3x + 1

P(1) is x = 1

P(-2) is x = -2

<u>Step 2: Evaluate</u>

<em>P(1)</em>

  1. Substitute:                    P(1) = 1³ + 4(1)² - 3(1) + 1
  2. Exponents:                   P(1) = 1 + 4(1) - 3(1) + 1
  3. Multiply:                        P(1) = 1 + 4 - 3 + 1
  4. Add:                              P(1) = 5 - 3 + 1
  5. Subtract:                       P(1) = 2 + 1
  6. Add:                              P(1) = 3

<em>P(-2)</em>

  1. Substitute:                    P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1
  2. Exponents:                   P(-2) = -8 + 4(4) - 3(-2) + 1
  3. Multiply:                        P(-2) = -8 + 16 + 6 + 1
  4. Add:                              P(-2) = 8 + 6 + 1
  5. Add:                              P(-2) = 14 + 1
  6. Add:                              P(-2) = 15
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3 years ago
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