1.5 Quadratic Functions and Geometric Transformations

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1.5 Quadratic Functions and Geometric Transformations. HW Pg. 44 #72 – 74 all State the discriminant and number of zeros for each equation:. 1.5 Quadratic Functions and Geometric Transformations.

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1.5 Quadratic Functions and Geometric Transformations
• HW Pg. 44 #72 – 74 all
• State the discriminant and number of zeros for each equation:
1.5 Quadratic Functions and Geometric Transformations
• A rectangle is 3 ft longer than it is wide. If each side is increased by 1 ft, the area of the new rectangle is 208 sq ft. Find the dimensions of the original rectangle.
1.5 Quadratic Functions and Geometric Transformations
• A rectangular pool with dimensions 25 by 40 ft is surrounded by a walk with a uniform width. If the area of the walk is 504 sq ft, find the width of the walk.
1.5 Quadratic Functions and Geometric Transformations

Symmetry and Vertex

The Discriminant

The discriminant tells you how many times the parabola will cross the x – axis.

If…

• For the graph of the function:
• The vertex is:
• The line of symmetry is: