Question

Select all the equations which, when graphed, will be a parabola.(2 points)
Responses

y=16x+6
𝑦
=
16
𝑥
+
6
y is equal to 16 x plus 6

y=6x2
𝑦
=
6
𝑥
2
y is equal to 6 x squared

y=2x
𝑦
=
2
𝑥
y is equal to 2 to the x th power

y=(−9)x
𝑦
=
(
−
9
)
𝑥
y is equal to negative 9 to the x th power

y=8x
𝑦
=
8
𝑥
y is equal to 8 x

y=−4x2

Answer 1

To determine which equations will graph as a parabola, we should look for equations of the form \( y = ax^2 + bx + c \) or any variation that includes \( x^2 \) as the highest degree term.

Let's evaluate each equation:

1. **y = 16x + 6** - This is a linear equation (not a parabola).

2. **y = 6x²** - This is a quadratic equation (it has \( x^2 \) as the highest term), so it will graph as a parabola.

3. **y = 2^x** - This is an exponential equation (not a parabola).

4. **y = (-9)x** - This is a linear equation (not a parabola).

5. **y = 8x** - This is also a linear equation (not a parabola).

6. **y = -4x²** - This is a quadratic equation (it has \( x^2 \) as the highest term), so it will graph as a parabola.

Based on this analysis, the equations which will graph as a parabola are:

- **y = 6x²**
- **y = -4x²**