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# Quadratic Functions: Standard Form - PowerPoint PPT Presentation

Quadratic Functions: Standard Form. Today’s Objective: I can graph a quadratic function in standard form. The function models the height h of the soccer ball as it travels distance x . What is the maximum height of the ball? Explain. Quadratic Function: Vertex Form. Attributes:

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Presentation Transcript

Today’s Objective:

I can graph a quadratic function in standard form

The function models the height h of the soccer ball as it travels distance x. What is the maximum height of the ball? Explain.

• Attributes:
• Opens up (a > 0) or down (a < 0)
• Vertex is maximum or minimum
• Vertex: (h, k)
• Axis of symmetry:
• Attributes:
• Opens up (a > 0) or down (a < 0)
• Vertex is maximum or minimum
• y-intercept: (0, c)
• Can be determined with a little work
• Axis of symmetry:
• Vertex:
• (0, c)

Evaluate f(x) at

Graphing a Quadratic Function: Standard form
• Vertex:

Plot the vertex

Find and plot two points to the right of vertex.

Plot the pointacross axis of symmetry.

Sketch the curve.

Axis of Symmetry:

Domain:

Range:

All Real Numbers

Graphing a Quadratic Function: Standard form
• Vertex:

Plot the vertex

Find and plot two points to the right of vertex.

Plot the pointacross axis of symmetry.

Sketch the curve.

Axis of Symmetry:

Domain:

Range:

2

All Real Numbers

Graphing a Quadratic Function: Standard form
• Vertex:

Axis of Symmetry:

Domain:

Range:

All Real Numbers

Vertex on Calculator:

[2nd], [trace]

Choose minimum or maximum

Move curser left of vertex, [enter]

Move curser right of vertex, [enter]

[enter]

-0.5

Standard form to Vertex form
• a value is the same
• Find the vertex
Bungee Jumping

You can model the arch of this bridge with the function

How high above the river is the arch?

Maximum

Arch height:

• Pg. 206 #8-30 evens