#### Sketch the parabola that goes through the following points. Plot the fourth point, then draw the line of symmetry & estimate the vertex.

(-5, 0), (5, 0) & (0, -8)

CCSS-HSA2P-QT.9
CCSS-HSA2P-QT.4
finding the line of symmetry of a parabola
ninth grade
high-school
Algebra

Anonymous

0

(-5, 0), (5, 0) & (0, -8)

Sangeetha Pulapaka

1

Step 1: Remember what a parabola is

https://www.qalaxia.com/viewDiscussion?messageId=5ceca64f0a8962539044ad8b

Step 2: Sketch the parabola

Mark points (-5,0), (5,0) and (0,,-8) on the graph and join the points to get a parabola

Step 3: Determine the vertex of the parabola

Recall the vertex of the parabola

https://www.qalaxia.com/viewDiscussion?messageId=5cec8c0df31e6e22f6b0f21e

The vertex of the parabola is (0,-8)

Step 4: Determine the axis of symmetry

Remember how to find the axis of symmetry

https://study.com/academy/lesson/find-the-axis-of-symmetry-equation-formula-vertex.html

It is the line of **symmetry **of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of **symmetry**. It intersects a parabola at its vertex. It is a vertical line with the equation of [math] x = \frac{ -b}{2a}

The axis of symmetry for this graph is at x = 0.