Miscellaneous
Quadratic Vocabulary
Graphing Quadratic Functions
Quadratic Transformations
Quadratic Key Features in Context
100
What formula do we use to calculate the average rate of change?
100
What is the name of the graph of a quadratic function?
Parabola
100
What are the three forms of quadratic equations we use to graph?
STANDARD, VERTEX, INTERCEPT (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)=-1/2(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 or more narrow?
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
Solve the inequality for x.
2<=x
x>=2
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