WorksheetsUnit 5 OPTIONAL Review 11.10.25
Total questions: 25
Worksheet time: 17mins
In the equation f ( x ) = a x2 + b x + c, what does c tell you about the shape of the graph?
Vertical Translation
Changes the width of the opening
Horizontal Translation
In the equation f ( x ) = a x2 + b x + c, what does b tell you about the shape of the graph?
Vertical Translation
Horizontal Translation
Changes the width of the opening
In the equation f ( x ) = a x2 + b x + c, what does a tell you about the shape of the graph?
Vertical Translation
Changes the width of the opening
Horizontal Translation
Leave answer as a decimal.
(a)
Leave answer as a decimal if needed.
(a)
Leave answer as a decimal if needed.
(a)
What is the discriminant of the function: f(x): 2x2-8x-5
(a)
What is the discriminant of the function: f(x) = 2x2 + 8x + 11?
(a)
If the discriminant is a negative number, what does this tell you about the roots?
There are no real roots
There is one real root
There are two real roots
If the discriminant is a positive number, what does this tell you about the roots?
There are no real roots
There are 2 real roots
There is one real root
If the discriminant is zero, what does this tell you about the roots?
There are no real roots
There is one real root
There are 2 real roots
Larry is working on his tennis skills. He hits a ball that lands on a target 40 feet away. During flight the ball reaches a height of 20 feet. How high is the ball after it has traveled 10 feet?
(a)
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function
h ( t ) = 1/2 g t2 + vo t + ho where t is greater than zero, g=-32 ft/sec when ho is measured in feet, vo is the initial velocity, and h0 is the initial height off the ground.
What was Jason’s maximum height if his initial velocity is 16 ft/s and his initial height is 480 ft?
(a)
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function
h ( t ) = 1/2 g t2 + vo t + ho where t is greater than zero, g=-32 ft/sec when ho is measured in feet, vo is the initial velocity, and h0 is the initial height off the ground.
Jason's initial velocity is 16 ft/s and his initial height is 480 ft?
Jason hits the water after how many seconds?
(a)
The focus is always
Inside the parabola
Outside the parabola
To the left of the parabola.
to the right of the parabola.
The directrix is
a line outside the parabola
a point outside the parabola
a line inside the parabola
a point inside the parabola
If the coefficient a in the general quadratic equation is equal to 1/16, what is the focal length for the parabola, c ′, equal to?
1/4
4
16
1/16
If the coefficient a in the general quadratic equation is equal to 3, what is the focal length for the parabola, c ′, equal to?
12
1/12
3
1/3
The focal point of the quadratic y = − 1/12 x2 + 5 is at ( 0 , p ). What is the value of p?
3
5
8
2
The focal point of the quadratic y = 1/4 x2 - 3 is at ( 0 , p ). What is the value of p?
-2
4
2
-3
The directrix of the parabola y = − 1/8 x2 + 3 is y = l. What is the value of l?
5
1
3
2
The directrix of the parabola y = 1/4 x2 - 1 is y = l. What is the value of l?
2
-2
1
-1
(a)
What are the values of a, b, and c?
a = 1
b = -10
c = 0
a = -1
b = 10
c = 0
a = -2
b = 10
c = 2
a = -2
b = 10
c = 0
