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Exam (elaborations)

2.6.3 Practice: Quadratic Functions -Questions with Complete Solutions

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2.6.3 Practice: Quadratic Functions -Questions with Complete Solutions

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2.6.3 Practice: Quadratic Functions


Answer the following questions using what you've learned from this unit. Write your responses in
the space provided.


1. ​A function that can be written in the form , where is called a
standard​​ ​function. Its graph is a shape called a ​parabola​​. (1 point)



2. ​List the important features for the graph of a quadratic function. (1 point)

1.Whether it’s up or down

2. Vertex

3. Point of intercept

4. Intercepts of the graph

3. ​Write each form of the quadratic function. (3 points)



Standard form: ​y=ax^2+bx+c

Vertex form: ​y=a(x-h)^2+k

Intercept form:​ y=a(x-p)(x-q)

4. ​List the intercepts, vertex, and axis of symmetry for each quadratic function whose graph is shown.
(2 points)



a.

, Intercepts:​ (-3,0)(1,0)

Vertex:​ (-1,-3.5)

Axis of symmetry: ​x=-1




b.




Intercepts: ​(0,0)(5,0)

Vertex: ​(2.5,4.5)

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