Mid Chapter Review (Working with Quad Fun, NelApp)
Chapter
Chapter 3
Section
Mid Chapter Review (Working with Quad Fun, NelApp)
Solutions 20 Videos

Write each function in standard form.

\displaystyle f(x)=(x+7)(2 x+3)

Q1a

Write each function in standard form.

\displaystyle g(x)=(6-x)(3 x+2)

Q1b

Write each function in standard form.

\displaystyle f(x)=-(2 x+3)(4 x-5)

Q1c

Write each function in standard form.

\displaystyle g(x)=-(5-3 x)(-2 x+1)

Q1d

Match each function to its graph.

a) \displaystyle f(x)=x^{2}+7 x+10

b) \displaystyle f(x)=(5-x)(x+2)

c) \displaystyle f(x)=-x^{2}+3 x+10

d) \displaystyle f(x)=(x+2)(x+5)

e) \displaystyle f(x)=x^{2}-3 x-10 Q2

Determine the maximum or minimum of each function.

\displaystyle f(x)=x^{2}+2 x-35

Q3a

Determine the maximum or minimum of each function.

\displaystyle g(x)=-2 x^{2}-6 x+36

Q3b

Determine the maximum or minimum of each function.

\displaystyle f(x)=2 x^{2}-9 x-18

Q3c

Determine the maximum or minimum of each function.

\displaystyle g(x)=-2 x^{2}+x+15

Q3d

Which form of a quadratic function do you find most useful? Use an example in your explanation.

Q4

Graph each function, and then use the graph to locate the zeros.

\displaystyle f(x)=x^{2}+2 x-8

Q5a

Graph each function, and then use the graph to locate the zeros.

\displaystyle g(x)=15 x^{2}-2 x-1

Q5b

Graph each function, and then use the graph to locate the zeros.

\displaystyle f(x)=8 x^{2}+6 x+1

Q5c

Graph each function, and then use the graph to locate the zeros.

\displaystyle g(x)=2 x^{2}-3 x-5

Q5d

Solve by graphing.

\displaystyle x^{2}+2 x-15=0

Q6a

Solve by graphing.

\displaystyle (x+3)(2 x+5)=0

Q6b

Solve by graphing.

\displaystyle 2 x^{2}-x-6=0

Q6c

Solve by graphing.

\displaystyle x^{2}+7 x=-12

A field-hockey ball must stay below waist height, approximately \displaystyle 1 \mathrm{~m} , when shot; otherwise, it is a dangerous ball. Sally hits the ball. The function \displaystyle h(t)=-5 t^{2}+10 t , where \displaystyle b(t)  is in metres and \displaystyle t  is in seconds, models the height of the ball. Has she shot a dangerous ball? Explain.
Are \displaystyle x=3  and \displaystyle x=-4  the solutions to the equation \displaystyle x^{2}-7 x+12=0  ? Explain how you know.