Miscellaneous
Quadratic Vocabulary
Graphing Quadratic Functions
Quadratic Transformations
Quadratic Key Features in Context
100
What formula do we use to calculate the axis of symmetry?
X=-b/2a
100
What is the correct name of the u-shaped graph of a quadratic function?
Parabola
100
What are the three forms of quadratic equations we use to graph?
STANDARD, VERTEX, FACTORED
100
The value of 'a' in a quadratic function tells you what two things about the transformation?
IF THE PARABOLA OPENS UP OR DOWN AND IF THE SIZE CHANGES (STRETCH OR COMPRESS)
100
What key feature of a parabola will give you the maximum height of an object?
Hint: Be specific, Which coordinate x or y?
THE Y-COORDINATE OF THE VERTEX
200
Solve the equation for x.
x=-4
200
What is the name of the line that cuts the graph of a quadratic in half?
AXIS OF SYMMETRY
200
What is the y-intercept of the parabola with the following equation?
y=x2 -6x +8
(0,8)
200
What do the 'h' and 'k' values tell you about the transformation of a parabola in vertex form?
"H" HORIZONTAL TRANSLATION (LEFT OR RIGHT)
"K" VERTICAL TRANSLATION (UP OR DOWN)
200
What key feature of a parabola will give you the initial height of an object?
THE Y-INTERCEPT
300
Identify the slope and y-intercept given the equation below.
y = -x + 7
slope: -1
y-intercept: 7
300
What is the name of the maximum or minimum of a quadratic function?
Vertex
300
What is the vertex of the parabola?
y= -0.5(x+4)2 +6
(-4,6)
300
Given the equation of a parabola below, identify the transformation that took place.
y=(x+9)2-4
TRANSLATED LEFT 9 UNITS AND DOWN 4 UNITS
300
A ball is thrown into the air. It's height h, in feet after t seconds is given by the function h(t)=−16t2+48t+4
What was the 𝐢𝐧𝐢𝐭𝐢𝐚𝐥 𝐡𝐞𝐢𝐠𝐡𝐭 of the ball when it was thrown?
4 feet
400
Evaluate the function below for f(2).
f(2)=3
400
What are the other names for x-intercepts of a Parabola?
Hint: There are three other names we can use.
Solutions, Roots and Zeros
400
What are the x-intercepts of the quadratic function with the following equation?
f(x)=-2(x-6)(x+8)
(6,0) and (-8,0)
400
If the parent function of a quadratic is y=x2. Given the following transformation
y = 1/5(x-4)2 +3 will your graph become wider (compress) or more narrow (stretch)?
WIDER
400
The graph shows the height h in feet of a small rocket t seconds after it is launched. The path of the rocket is given by the equation:
h(t) =−16t2+128t
𝐇𝐨𝐰 𝐥𝐨𝐧𝐠 𝐢𝐬 𝐭𝐡𝐞 𝐫𝐨𝐜𝐤𝐞𝐭 𝐢𝐧 𝐭𝐡𝐞 𝐚𝐢𝐫?
8 seconds
500
Evaluate the function below for f(-2).
f(x)= -x2-6x
f(-2)=8
500
What is the set of all possible x-values and y-vales called?
Hint: There are two vocabulary words you need for the answer.
Domain and Range
500
What is the axis of symmetry for the parabola with the following equation?
h(x)=3x2 -24x+45
x=4
500
Write the equation of the parabola in Vertex form for the following transformation?
- Vertically Stretched by a factor of 3
- Translated 7 units to the right
- Translated 3 units up
y=3(x-7)2+3
500
What was the height of the football after 4 seconds?
90 feet