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stiv31 [10]
2 years ago
7

What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 1/6x2 - 9?

Mathematics
1 answer:
kaheart [24]2 years ago
3 0

Using shifting concepts, it is found that the correct option is:

B. The graph of f(x) is vertically compressed by a factor of 6 and shifted 9 units down.

---------------------------

  • The parent function is f(x) = x^2.
  • The first transformation is a multiplication by 1/6. Multiplying by 1/a is the same as vertically compressing by a factor of a, thus, it was vertically compressed by a factor of 6.
  • Then, 9 was subtracted. When a is subtracted from the function, it means that it was shifted down a units, thus, it was shifted down 9 units, and the correct option is B.

A similar problem is given at brainly.com/question/24465194

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What is the value of x in this equation?<br><br> 2x – 12 = -52
Scrat [10]

Answer:

x = -20

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

2x - 12 = -52

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 12 on both sides:                     2x = -40
  2. Divide 2 on both sides:                   x = -20

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                      2(-20) - 12 = -52
  2. Multiply:                                 -40 - 12 = -52
  3. Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

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