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

##### 1 Answer

**Axis of symmetry:**

**Vertex:**

**Y-intercept:**

**Other Points:**

#### Explanation:

In order to graph a parabola, determine the axis of symmetry, vertex, y-intercept, x-intercepts and other points. If the parabola does not cross the x-axis and/or y-axis, you will not have a y-intercept and/or x-intercepts, so you will have to rely on other points.

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:

**Axis of symmetry:**

**Vertex:** minimum or maximum point. The

To find the

**Vertex:**

**Y-intercept:** The vertex is also the y-intercept.

**Other Points**

The parabola does not cross the x-axis, so there are no x-intercepts, but we can find points for values of

**Point 1:**

**Point 2:**

**Point 3:**

**Point 4:**

**SUMMARY**

**Axis of symmetry:**

**Vertex:**

**Y-intercept:**

**Other Points:**

Plot the points and sketch a parabola through them. Do not connect the dots.

graph{y=x^2+3 [-9.33, 10.67, -2.4, 7.6]}