2.1: Function Graphs
2.2: Function Transformations
2.3: Graphing in Vertex Form
2.4: Graphing in Standard Form
2.5: Modeling With Quadratics
10
What is the equation for the parent function for a linear graph?
y=x
10
Given the equation, describe the transformations.
y=x^2+1
Up 1
10
What is the domain for all quadratic equations?
All real numbers
10
Fill in the blank:
If a is positive, the graph opens ______.
Up
10
Zoe is on a hill and throws a ball up in the air with an initial velocity of 20 feet per second. The ball's height (y) measured in feet and the seconds (x) that it is traveling can be modeled by the equation below.
What is the starting height of the ball?
y=-16x^2+128x+32
32 feet
20
What is the equation for the parent function for a constant graph?
y=a where a is any number
20
Given the equation, describe the transformations:
y=1/2(x+1)^2-2
Vertical shrink by a factor of 1/2, left 1, down 2
20
Identify the vertex given the quadratic equation:
y=(x-4)^2-1
(4, -1)
20
What is the y-intercept of the quadratic equation
y=2x^2+8x-12
-12
20
Zoe is on a hill and throws a ball up in the air with an initial velocity of 20 feet per second. The ball's height (y) measured in feet and the seconds (x) that it is traveling can be modeled by the equation below.
At what time does the ball reach its maximum height?
y=-16x^2+128x+32
4 seconds
30
Describe the transformations that take place. The solid graph is the parent function and the dotted graph is the transformation:
Right 2, down 1
30
Given the transformations from the parent function, write the quadratic equation:
Right 6, down 2
y=(x-6)^2-2
30
Write the equation for the axis of symmetry for the quadratic equation:
y=(x+2)^2-1
x=-2
30
What is the x-value of the vertex for the quadratic equation
y=3x^2-12x+4
x=2
30
Zoe is on a hill and throws a ball up in the air with an initial velocity of 20 feet per second. The ball's height (y) measured in feet and the seconds (x) that it is traveling can be modeled by the equation below.
What is the ball's maximum height?
y=-16x^2+128x+32
288 feet
40
Describe the transformations that take place. The solid graph is the parent function and the dotted graph is the transformation:
Reflection over the x-axis, left 1, up 3
40
Given the transformations from the parent function, write the quadratic equation:
Reflection over the x-axis, left 7, up 3
y=-(x+7)^2+3
40
Which of the following is the correct graph of the quadratic equation:
y=4(x-3)^2+1
B
40
Find the y-value of the vertex for the quadratic equation
y=-2x^2+8x-6
y=2
40
Zoe is on a hill and throws a ball up in the air with an initial velocity of 20 feet per second. The ball's height (y) measured in feet and the seconds (x) that it is traveling can be modeled by the equation below.
How high is the ball after 5 seconds?
y=-16x^2+128x+32
272 feet
50
Describe the transformations that take place. The solid graph is the parent function and the dotted graph is the transformation:
Vertical stretch, right 3, down 4
50
Given the transformations from the parent function, write the quadratic equation:
Reflection over the x-axis, vertical stretch by a factor of 4, left 2, and up 2
y=-4(x+2)^2+2
50
Write the equation of the quadratic equation given the graph below:
y=-(x-2)^2+4
50
Which of the following is the correct graph of the quadratic equation?
y=x^2+2x-1
C
50
**DOUBLE JEOPARDY**
Zoe is on a hill and throws a ball up in the air with an initial velocity of 20 feet per second. The ball's height (y) measured in feet and the seconds (x) that it is traveling can be modeled by the equation below.
How long does the ball stay in the air? (hint: use the quadratic equation to find the positive zero!) You can have decimals in your answer.
y=-16x^2+128x+32
8.24 seconds