4.1 Graph Quadratic Functions In Standard Form A

4.1 Graph Quadratic Functions in Standard Form

A _________ _________ is a function that can be written in the ____________ form y =

ax² + bx + c where a ≠ 0. The graph of a quadratic function is a _____________.

The graph for any quadratic function g(x) = ax² + bx + c where b = 0, the vertex lies on

the y-axis and the axis of symmetry is x = 0.

Draw a graph for f(x) = x² :

Characteristics of the graph of y = ax² + bx + c:

• The graph opens ______ if a> 0 and opens _______ if a<0.

• The graph is _________ than the graph of f(x) = x² is |a| > 1 & _________ if |a| <1

• The axis of symmetry is x = ______ and the vertex has the x-coordinate _______.

• The y-intercept is ____. So, the point (0, __ ) is on the parabola.

•

For y = ax² + bx + c, the vertex’s y-coordinate is the ________ value of the function if

a>0 and the __________ value if a<0.

a is ___________

a is __________

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