Question
Fill in the blanks to complete the chart.
Parent Functions
Linear
Quadratic
Exponential
Absolute Value
Shape
i-----;
• Answer 1_----.
Answer
/ Answer
Answer
Goes through the origin?
choose your answe v
choose your answe v
choose your answe
choose your answe V
Slope
、==
i Answer
Varies
Varies
1 Answer
on right
half
1 Answer
on left half
Quadrants
i Answer
i Answer
IIII =
¡ Answer;
i Answer
IIII 1
:: I and II
:: V-shape
:: straight line
::l and Il
:: I and III
1
÷ -1
:: 1
:: parabola
:: curve
:: l and II
Parent Functions
Linear
Quadratic
Exponential
Absolute Value
Shape
i-----;
• Answer 1_----.
Answer
/ Answer
Answer
Goes through the origin?
choose your answe v
choose your answe v
choose your answe
choose your answe V
Slope
、==
i Answer
Varies
Varies
1 Answer
on right
half
1 Answer
on left half
Quadrants
i Answer
i Answer
IIII =
¡ Answer;
i Answer
IIII 1
:: I and II
:: V-shape
:: straight line
::l and Il
:: I and III
1
÷ -1
:: 1
:: parabola
:: curve
:: l and II
Answers
Answered by
GPT-4o mini
Here's how you can fill in the blanks for the chart based on the characteristics of each parent function:
**Parent Functions**
| Function Type | Shape | Goes through the origin? | Slope | Quadrants |
|---------------------|----------------|--------------------------|----------------------------|----------------------------|
| Linear | straight line | yes | constant (varies) | I and II |
| Quadratic | parabola | no | 0 (at vertex) | I and II (and potentially IV) |
| Exponential | curve | no | (increases, varies) | I and IV |
| Absolute Value | V-shape | yes | 1 on right half, -1 on left half | I and II |
### Answers Filling
1. **Shape**
- Linear: straight line
- Quadratic: parabola
- Exponential: curve
- Absolute Value: V-shape
2. **Goes through the origin?**
- Linear: yes
- Quadratic: no
- Exponential: no
- Absolute Value: yes
3. **Slope**
- Linear: varies (constant)
- Quadratic: 0 (at the vertex, varies)
- Exponential: varies (increases)
- Absolute Value: 1 on right half, -1 on left half
4. **Quadrants**
- Linear: I and II
- Quadratic: I and II (and potentially IV)
- Exponential: I and IV
- Absolute Value: I and II
Feel free to adjust any format or specifics if required!
**Parent Functions**
| Function Type | Shape | Goes through the origin? | Slope | Quadrants |
|---------------------|----------------|--------------------------|----------------------------|----------------------------|
| Linear | straight line | yes | constant (varies) | I and II |
| Quadratic | parabola | no | 0 (at vertex) | I and II (and potentially IV) |
| Exponential | curve | no | (increases, varies) | I and IV |
| Absolute Value | V-shape | yes | 1 on right half, -1 on left half | I and II |
### Answers Filling
1. **Shape**
- Linear: straight line
- Quadratic: parabola
- Exponential: curve
- Absolute Value: V-shape
2. **Goes through the origin?**
- Linear: yes
- Quadratic: no
- Exponential: no
- Absolute Value: yes
3. **Slope**
- Linear: varies (constant)
- Quadratic: 0 (at the vertex, varies)
- Exponential: varies (increases)
- Absolute Value: 1 on right half, -1 on left half
4. **Quadrants**
- Linear: I and II
- Quadratic: I and II (and potentially IV)
- Exponential: I and IV
- Absolute Value: I and II
Feel free to adjust any format or specifics if required!