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Mazyrski [523]
2 years ago
13

the graph of f(x) can be stretched vertically and flipped over the x-axis to produce the graph of g(x). if f(x)

Mathematics
1 answer:
lina2011 [118]2 years ago
4 0

The correct option is D: G(x) = -5x².

The equation of G(x) will be -5x² after vertically stretching and flipping.

<h3>What is meant by stretching vertically and flipping?</h3>

A function change called a stretch or compression makes a graph bigger or narrower without moving it horizontally or vertically.

  • Vertical stretching: A function's graph is stretched or compressed vertically in proportion to the graph of the original function when we multiply it by a positive constant. We obtain a vertical stretch if the constant is bigger than 1, and a vertical compression if the constant is between 0 and 1.
  • flipped over the x-axis: In order to reflect over the X axis, one must negate the value of each point's y-coordinate while maintaining its x-value. The graph reflects across the x-axis prior to transformation when the parent function f(x) = x² has an a-value smaller than 0. The function f(x) = -x² is the result.

To know more about the vertical stretch, here

brainly.com/question/14325265

#SPJ4

The complete question is -

The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x², which of the following could be the equation of G(x)?

A: G(x) = -1/5x²

B: G(x) = 5x²

C: G(x) = 1/5x²

D: G(x) = -5x²

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alex41 [277]

If the negative square root is found to be one of your solutions, then that is indicative of a pair of imaginary roots (the imaginary i). According to the conjugate rule, if you have one solution that is imaginary, you will have another but with the opposite sign. For example, if a solution to a quadratic is found to be 2 - i, then its conjugate, 2 + i is also a solution. They will ALWAYS go in pairs. Same thing with radical solutions. If one solution is found to be 3+\sqrt{5}

then 3-\sqrt{5} will also be a solution.

3 0
3 years ago
4 1/3 - 1 2/3 how to solve this please
8_murik_8 [283]

Answer:

2\frac{2}{3}

Step-by-step explanation:

1) Convert 4\frac{1}{3} to improper fraction. Use this rule: a\frac{b}{c} =\frac{ac+b}{c}.

\frac{4\times3+1}{3} -1\frac{2}{3}

2) Simplify 4 * 3 to 12.

\frac{12+1}{3}

3) Simplify 12 + 1 to 13.

\frac{13}{3} -1\frac{2}{3}

4) Convert 1\frac{2}{3}   to improper fraction. Use this rule: a\frac{b}{c} =\frac{ac+b}{c}.

\frac{13}{3} -\frac{1\times3+2}{3}

5) Simplify 1 * 3 to 3.

\frac{13}{3} -\frac{3+2}{3}

6) Simplify 3 + 2 to 5.

\frac{13}{3} -\frac{5}{3}

7) Join the denominators.

\frac{13-5}{3}

8) Simplify.

\frac{8}{3}

9) Convert to mixed fraction.

2\frac{2}{3}

(Decimal Form: 2.666667)

Thank you,
Eddie

3 0
2 years ago
Five times a number decreased by 18 minus 4 times the same number is -36. what is the number?
kaheart [24]

(5x - 18) - 4x = -36

Let's solve your equation step-by-step.

5x − 18 − 4x = −36

Step 1: Simplify both sides of the equation.

5x − 18 − 4x = −36

5x + −18 + −4x = −36

(5x + −4x) + (−18) = −36 (Combine Like Terms):

x + −18 = −36

x − 18 = −36

Step 2: Add 18 to both sides.

x − 18 + 18 = −36 + 18

x = −18


Answer: ========> x = -18 is the number




Hope that helps!!!! : )


3 0
3 years ago
A bouqet had 10 flower and sold it for 90$ which is the rate of $_ per flower
lana [24]

Answer:

$9 per flower

Step-by-step explanation:

divide cost ($90) by the number of items (10 flowers)

6 0
3 years ago
Read 2 more answers
3q + 3j <br>if q= 7 and j = 4​
Flura [38]

Answer:

33

Step-by-step explanation:

3q + 3j

if q= 7 and j = 4​

3(7) + 3(4) = 21 + 12 = 33

7 0
2 years ago
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