# How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #f(x)= 3x^2#?

##### 1 Answer

Refer to the explanation.

#### Explanation:

where:

**Axis of symmetry:** the vertical line that divides the parabola into two equal halves. For a quadratic equation in standard form, the formula for the axis of symmetry is:

Plug in the known values.

Simplify.

**Axis of symmetry:**

This means that the axis of symmetry is on the x-axis, where

**Vertex:** the maximum or minimum point on the parabola.

To determine the

Plug in

**Vertex:**

Since the vertex does not cross the x-axis, we don't have x-intercepts in terms of

I will propose six values for

**Point 1: #(0.5,0.75)#**

**Point 2: #(-0.5,0.75)#**

**Point 3: #(1,3)#**

**Point 4: #(-1,3)#**

**Point 5: #(2,12)#**

**Point 6: #(-2,12)#**

Plot the vertex and the other six points. Sketch a parabola through the points. Do not connect the dots.

graph{y=3x^2 [-10, 10, -5, 5]}