Question

The graph of f(x)=x^2 is shown on the grid. Which statement about the relationship between the graph of f and the graph of g(x)=1/2x^2 is true?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The graph of g(x)=1/2x^2 is a vertically scaled version of the graph of f(x)=x^2. Specifically, the graph of g(x) is compressed in the vertical direction by a factor of 1/2 compared to the graph of f(x). This means that the graph of g(x) is "flatter" or less steep than the graph of f(x).

Answer 2

The graph of f(x)=x^2 is shown on the grid. Which statement about the relationship between the graph of f and the graph of g(x)=1/2x^2 is true?

the graph of g is narrower than the graph of f.
the graph of g is wider than the graph of f.
the graph of g is 5 units below the graph of f.
the graph of g is 5 units above the graph of f.

Answer 3

[AI-generated answer — Bot GPT 3.5]

The correct statement is: the graph of g is narrower than the graph of f.

When comparing the equation f(x) = x^2 to g(x) = (1/2)x^2, you can see that the coefficient 1/2 in front of x^2 in g(x) causes the graph to be narrower. This is because the vertex of the graph will be stretched horizontally by the factor of 2 in the g(x) equation, making it narrower compared to the graph of f(x).

Answer 4

2x^2+7x-22=0

5
2
6
-12

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve the quadratic equation 2x^2 + 7x - 22 = 0, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a.

In the given equation, a = 2, b = 7, and c = -22.

Substitute the values into the quadratic formula:
x = (-7 ± √(7^2 - 4*2*(-22))) / (2*2)
x = (-7 ± √(49 + 176)) / 4
x = (-7 ± √225) / 4
x = (-7 ± 15) / 4

Now, we can find the two possible solutions:
1. x = (-7 + 15) / 4 = 8 / 4 = 2
2. x = (-7 - 15) / 4 = -22 / 4 = -5.5

Therefore, the solutions to the equation 2x^2 + 7x - 22 = 0 are x = 2 and x = -5.5.

Answer 6

whats the correct answer

Answer 7

[AI-generated answer — Bot GPT 3.5]

The correct answer is 2.

Answer 8

use the graph of f(x) to find the solutions to the equation f(x)=0

the picture shows a long red colored hump on the graph
x=-5..x=1
x=-2
x=5,x=-1

Answer 9

[AI-generated answer — Bot GPT 3.5]

Based on the description of the graph being a long red colored hump, it is likely the graph of a parabolic function like f(x) = x^2 shown previously.

To find the solutions to the equation f(x) = 0 or where the graph intersects the x-axis (y = 0), we need to look for the x-values where the graph crosses or touches the x-axis.

From the given options:
- Option 1: x = -5 and x = 1
- Option 2: x = -2
- Option 3: x = 5 and x = -1

Looking at the graph of f(x) = x^2, the x-values where the graph crosses the x-axis are x = -5 and x = 5. So, none of the provided options are entirely correct.

The correct x-values where f(x) = 0 or the graph crosses the x-axis are x = -5 and x = 5.

Answer 10

what is the correct answer

Answer 11

[AI-generated answer — Bot GPT 3.5]

The correct answer is x = -5 and x = 5.