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>
- Define: f(x) = a(bx - c)² + d
- Substitute: f(x) = -1/3(x + 12)² + 9
<u>Step 3: Write Standard Form</u>
- Define: f(x) = -1/3(x + 12)² + 9
- Expand: f(x) = -1/3(x² + 24x + 144) + 9
- Distribute -1/3: f(x) = -1/3x² - 8x - 48 + 9
- Combine like terms: f(x) = -1/3x² - 8x - 39
And we have our final answers!
Answer: $32
Step-by-step explanation:
Answer: $37.50
Explanation:
1. Turn 25% into a decimal by removing the “%” and placing a “0.” in front of it. (0.25)
2. Multiply the decimal (0.25) by the original price of the car (30). (0.25x30=7.5)
3. Add 7.5 to 30 to get the answer. (7.5+30=37.5=$37.50)
Answer:
B
Step-by-step explanation:
y = 4 is a horizontal line parallel to the x- axis
A parallel line must also be horizontal with equation
y = c ( c is the value of the y- coordinates the line passes through )
The only equation in this form is
y = 0 ( the equation of the x- axis ) → B
Answer:
3
Step-by-step explanation:
why would a goose have hens