Graphing Quadratics in Vertex Form

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Presentation transcript:

Graphing Quadratics in Vertex Form

Vertex Form is y = a(x – h)2 + k The vertex is at (h,k) The y-intercept is at (0,?) If a> 1 the graph opens up, if a < 1 the graph opens down The larger the magnitude of a the narrower the graph

Practice Graph y = (x – 1)2 + 3 Does this graph have a minimum or a maximum value? What is it?

Graph y = (x + 2)2 – 1 Does this graph have a minimum or a maximum value? What is it?

Graph y = 2(x – 3)2 – 8 Does this graph have a minimum or a maximum value? What is it?

Graph y = -3(x - 2)2 + 7 Does this graph have a minimum or a maximum value? What is it?

Graph y = ½(x + 4)2 – 9 Does this graph have a minimum or a maximum value? What is it?

Change to standard form y = (x – 3)2 + 1 y = -2(x+4)2 - 2