# What is the axis of symmetry and vertex for the graph #f(x)= 2x^2 - 11#?

The axis of symmetry for the graph of ( f(x) = 2x^2 - 11 ) is the vertical line represented by the equation ( x = \frac{-b}{2a} ), where ( a ) is the coefficient of the ( x^2 ) term (in this case, ( 2 )) and ( b ) is the coefficient of the ( x ) term (which is ( 0 ) since there's no ( x ) term). So, the axis of symmetry is ( x = \frac{0}{2(2)} = 0 ).

To find the vertex, plug the value of ( x ) from the axis of symmetry equation into the original function to find the corresponding ( y ) value. So, ( f(0) = 2(0)^2 - 11 = -11 ). Therefore, the vertex is at the point ( (0, -11) ).

By signing up, you agree to our Terms of Service and Privacy Policy

Vertex

The axis of symmetry is the y-axis

This is part of the process for completing the square.

I have written this format on purpose so that we can apply:

So the axis of symmetry is the y-axis.

So

By signing up, you agree to our Terms of Service and Privacy Policy

Axis of symmetry is

Vertex is at

By signing up, you agree to our Terms of Service and Privacy Policy

The axis of symmetry for the graph of ( f(x) = 2x^2 - 11 ) is the vertical line that passes through the vertex. To find the axis of symmetry, you use the formula ( x = -\frac{b}{2a} ), where ( a ) is the coefficient of the ( x^2 ) term (in this case, ( 2 )) and ( b ) is the coefficient of the ( x ) term (which is ( 0 ) because there's no ( x ) term). Substituting these values into the formula, we get ( x = -\frac{0}{2(2)} = 0 ). Therefore, the axis of symmetry is ( x = 0 ).

To find the vertex, you substitute the value of the axis of symmetry into the original function to find the corresponding ( y ) value. So, ( f(0) = 2(0)^2 - 11 = -11 ). Therefore, the vertex is at the point ( (0, -11) ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7