Question

How do I find the intercepts, vertex, and axis of symmetry for the attached graph?

Answer 1

the vertex is the point in the midle, and axis of symetry is cut down in the middle if the figure.

Answer 2

This is a wonderful question!

To find the Intercept:
For X intercept, you can look at where your parabola crosses the x - axis (horizontal)
(its not uncommon to have 1, 2, or 0)

For Y Intercept, you can look at where your parabola crosses the y - axis (vertical)

The vertex is the point of your parabola, and the axis of symmetry is the same x of your vertex.

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Instructions for finding Intercepts, Vertex, Axis of symmetry WITHOUT a graph

Axis of symmetry = X = (-b/2a)

Plug that number into you function to get the other half of your vertex.

To find the intercepts, plug in 0 for x in the y intercept

Plug in 0 for y in the x intercept

Hope that helps!