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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

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 transformations1

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 transformations2

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 transformations3

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 transformations4

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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