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Making The Equation

The document outlines the process of forming the vertex form of a quadratic equation using a given vertex and a point on the graph. It details the calculations to find the value of 'A' and convert the vertex form to standard form. Additionally, it discusses how understanding quadratic equations can improve skills in free throws by relating the trajectory of a thrown ball to the shape of a parabola.

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amadealim
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11 views7 pages

Making The Equation

The document outlines the process of forming the vertex form of a quadratic equation using a given vertex and a point on the graph. It details the calculations to find the value of 'A' and convert the vertex form to standard form. Additionally, it discusses how understanding quadratic equations can improve skills in free throws by relating the trajectory of a thrown ball to the shape of a parabola.

Uploaded by

amadealim
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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(0,7)

(-3, 4)

(-8,-8)
MAKING THE EQUATION
FORMING THE VERTEX FORM
VERTEX= (0,7) EQUATION: (Y-7)= A(X-0)^2
FIND A POINT ON THE GRAPH
Point = (-3,4)

PLUG THE POINT IN THE EQUATION


X = -3, Y=4 NEW EQUATION: (4-7)= A(-3-0)^2

2022 October 7 Amadea Francesca Lim Mathematics 9


MAKING THE EQUATION
SOLVE FOR A

(4-7)= A(-3-0)^2
(-3)= A(-3)^2
(-3)= A(9)
-3 / 9 = 9A / 9
-0.33 = A

2022 October 7 Amadea Francesca Lim Mathematics 9


MAKING THE EQUATION
CONSTRUCT THE VERTEX FORM

Y= -0.33(X-0)^2 + 7
*7 gets transposed to the other side

CONVERT VERTEX TO STANDARD

Y= ((-0.33(X-0)^2) + 7)
*Expand and solve

STANDARD FORM: Y= -0.33X^2 +7


2022 October 7 Amadea Francesca Lim Mathematics 9
HOW CAN QUADRATIC
EQUATIONS HELP?
USING THE UNDERSTANDING OF QUADRATIC EQUATIONS WILL HELP ONE
IMPROVE IN FREE THROWS BECAUSE OF ITS TRAJECTORY. THE TRAJECTORY
OF A BALL BEING THROWN IS SIMILAR TO A PARABOLA WHICH CAN ALSO BE
FOUND WHEN GRAPHING A QUADRATIC EQUATION. UNDERSTANDING THIS
TRAJECTORY CAN HELP YOU KNOW IF YOU NEED TO AIM HIGHER/LOWER
AND EXECUTE LESS/MORE FORCE WHEN DOING FREE THROWS.

2022 October 7 Amadea Francesca Lim Mathematics 9

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