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Karo-lina-s [1.5K]
3 years ago
5

Boxes of Candy (x)

Mathematics
1 answer:
Amanda [17]3 years ago
3 0
The answer to the question is c
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The quadratic parent function has been reflected down, stretched vertically by a factor of 1/3, shifted vertically by 9 units an
zmey [24]

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

<u>Algebra I</u>

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

  • a = vertical shrink/stretch
  • b = horizontal shrink/stretch
  • c = horizontal movement left/right
  • d = vertical movement up/down

Step-by-step explanation:

<u>Step 1: Define</u>

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

<u>Step 2: Write Vertex Form</u>

  1. Define:                    f(x) = a(bx - c)² + d
  2. Substitute:              f(x) = -1/3(x + 12)² + 9

<u>Step 3: Write Standard Form</u>

  1. Define:                              f(x) = -1/3(x + 12)² + 9
  2. Expand:                             f(x) = -1/3(x² + 24x + 144) + 9
  3. Distribute -1/3:                  f(x) = -1/3x² - 8x - 48 + 9
  4. Combine like terms:         f(x) = -1/3x² - 8x - 39

And we have our final answers!

8 0
3 years ago
Max points and brainliest
Paul [167]

Answer:

-2

Step-by-step explanation:

slope = (y1-y2)/(x1-x2)

= (3-1)/(0-1)

= 2/-1

= -2

3 0
4 years ago
Read 2 more answers
Pls help and thank youuuuu
Evgen [1.6K]

Answer:

y=-2x+4

Step-by-step explanation:

The gradient = change in y / change in x

When the x value increases by 1, the y value decreases by 2 so -2 / 1 = -2

The y intercept is 4, so it is +4

3 0
3 years ago
You choose 3 bananas from a group of 9. In how many ways can this be done?
alexandr1967 [171]

Assuming the order of selection doesn't matter:

\displaystyle \binom{9}{3}=\dfrac{9!}{3!6!}=\dfrac{7\cdot8\cdot9}{2\cdot3}=84

6 0
4 years ago
Answer this please!!!!!!
dmitriy555 [2]
X32 but 32 is the smaller numbers
4 0
3 years ago
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