1 5 quadratic functions and geometric transformations
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1.5 Quadratic Functions and Geometric Transformations. HWPg. 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

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1.5 Quadratic Functions and Geometric Transformations

  • HWPg. 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:

  • The Quadratic Formula is:


1.5 Quadratic Functions and Geometric Transformations

  • Sally invests $20,000. She puts part of the money into an account that pays 4% annually, but she can withdraw from it without penalty, and she puts the rest into an account that pays 6% annually.

    • Write an equation that describes the total interest, I, Sally receives at the end of 1 year in terms of the amount A invested at 6%.

    • If Sally’s annual interest is $1086, how much of her original $20,000 did she invest at 6%?


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