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Total questions: 85
Worksheet time: 1hrs 27mins
What is a quadratic function?
What would find the solution:
What is the vertex of the graph of f(x)=x2+10x−9?
Graph using Desmos and look for x-intercepts
Graph with Desmos and look for coordinates of maximum
Graph with Desmos and look for coordinates of minimum
x=−2ab
What would find the solution:
What are the solutions to f(x)=x2+10x−9?
Graph using Desmos and look for x-intercepts
Graph with Desmos and look for coordinates of maximum
Graph with Desmos and look for coordinates of minimum
x=−2ab
What do you do on Desmos?
Just type it on line 1.
Make sure all the numbers are together because it's a quadratic.
What are the quadratic roots to the equation 2x2−2x−12=0?
Graph with Desmos and look for the vertex
Use x=−2ab
Graph with Desmos and find the x-intercepts.
Find the y-intercept.
What are the zeros to the equation 2x2−2x−12=0?
Graph with Desmos and look for the vertex
Use x=−2ab
Graph with Desmos and find the x-intercepts.
Find the y-intercept.
Which symbol is below? What kind of a line it will be on the graph and where will the shading be?
<
less than, solid line, shaded above
less than, dashed line, shaded below
less than or equal to, dashed line, shaded above
greater than, dashed line, shaded above
According to the product rule, we _________ big numbers, and _______ small
Hint: (2x3)(4x6)
Multiply, add
add, multiply
Divide, add
divide, subtract
According to exponent rules, when we raise a power to a power we _______ the exponents.
Hint: (x2)8
Where the line crosses the y-axis.
initial value
starting value
Y-Intercept
all answers are correct
The y-values of a relation.
How do you read them?
Domain; left to right
Range; bottom to top
Range: left to right
Domain; bottom to top
The x-values of a relation.
How do you read them?
Range; bottom to top
Domain; left to right
Range; left to right
Domain; bottom to top
HOY represents
Choose 3 answers
vertical
horizontal line
zero slope
undefined slope
y=
≥
Which symbol is represented and what kind of a line and shading it will be on the graph?
greater than, solid line, shaded above
less than, dashed line, shaded below
greater than or equal to, solid line, shaded above
greater than or equal to, dashed line, shaded below
VUX represents
Choose 3 answers
vertical line
horizontal line
zero slope
undefined slope
x =
What is the slope of y = 13x −24 ?
13
-24
−1324
What is the slope of y=3−4x ?
3
−4
−34
−43
What are other names for slope?
3 answers
rate of change
m
x- intercept
rate
16x6y84x2y3 The quotient (division) rule says: _______ big, ________ small
multiply, add
divide, add
divide, subtract
multiply, subtract
R-oots
O-Zero
X-intercept
S-Solution
-3
3
2
-6
(x does NOT repeat)
If the graph of a quadratic opens down, which of the following must be true?
y= -ax2
y=ax2
Vertex (x, y)
Who is the maximum?
x
y
Vertex (x, y)
Who is the minimum?
x
y
Vertex (x, y)
Who is the axis of symmetry?
x
y
The highest or lowest POINT on the parabola
Parabola
Domain
Vertex
Range
Exponential growth is when...
The rate is bigger than one
The rate is smaller than one
The initial value is positive
The initial value is negative
Exponential decay is when...
The rate is bigger than one
The rate is smaller than one
The initial value is positive
The initial value is negative
How do you find slope with 2 points?
Desmos
y=mx+b
Desmos
y1~mx1+b
Identify the slope as positive or negative.
positive
negative
y=x2 would create a ——- shaped graph
Linear
Exponential
QuadratIc
An answer that looked like 6<x<20 would be representing
The range values
The domain Values
which answer would describe the range of this parabola
-3<x<1
y<4
y>4
all real numbers
Domain for a parabola is ALWAYS?
-3<x<1
All Real Numbers
y>4
whats Range
which equation best fits this graph
y=ax
y=a2
y=mx+b
y=∣x∣
How do you solve Systems of Equations?
Menu 3 1, x
y1~mx1+b
Matrix
How do you solve equations?
For example, 3x+5=8x-2
Menu 3 1, X
change the x's and the y's to any other variable and change the = to ~
Menu 3 2
Matrix
What are the domain and range of f(x)=-37
Domain: All real numbers greater than or equal to -37
Range: All real numbers
Domain: {-37}
Range: All real numbers
Domain: All real numbers
Range: All real numbers greater than or equal to -37
Domain: All real numbers
Range: {-37}
Time is always______________.
2 answers!
The y-axis.
The x-axis.
The domain.
The range.
How would you put this quadratic function on Desmos?
Select 2 answers!
Change all the variables to x's.
Just type it on Desmos.
Make sure all the numbers are together on side.
What do you do when you FORGET to graph equations?
Get the TI and type nsolve,y
Click CTRL T to get two points from a table.
Go to Desmos and type the equation like how it is.
Just hope for the best.
Just skip the question.
Can you just put this equation on Desmos?
Yes!
No! The y needs to be by itself! Just get rid of the 5!
Make it look like y=
by moving the 5 to the end and make it opposite.
Make it look like y=
by moving the 5 to the end.
4. The constant of variation is _________________.
Is k
slope
rise over run
x/y
What does rate mean?
Slope!
Rate of Change!
I don't know!
The x-intercept!
What do you type in first on Desmos?
2 answers!
g(x)=1/2f(x)+3
f(x)=x^2
f(x)=x
The parent function.
What type of function does this table represent?
Hint: Read the question!
Quadratic Regression
Exponential Regression
Linear Regression
What is the variable for the correlation coefficient?
r^2
r
m
b
What three ways can you use to solve equations?
Use the TI and enter menu 31,x
Use Desmos and just enter it
Use Desmos but change the = to a ~
You can split it on Desmos and find the x value.
What does equivalent mean?
(a)
How do you solve this on Desmos?
1st: Change the x's to a's
2nd: Change the y's to b's
3rd: Tell Desmos a=1.1
4th Tell Desmos b=2.2
Just type it on Desmos and put y= in front of it.
Just start matching because it says equivalent.
Just graph it.
(x does NOT repeat)
How do you find slope with 2 points?
Desmos
y=mx+b
Desmos
y1~mx1+b
which equation best fits this graph
y=ax
y=a2
y=mx+b
y=∣x∣
What is the "a" in the exponential function?
rate
initial value
multiplier
starting point
What is the "b" in the exponential function?
rate
initial value
multiplier
starting point
This only works for...
This only works for...
Quadratics
Lines
Exponentials
How do you do this in Desmos?
How do you graph it on TI?
Solid line or dashed line?
Dashed
Solid
Solid line or dashed?
Solid
Dashed
What does this mean?
2 answers!
zeros
roots
solutions
x-intercepts
y-intercepts
(-3/2, 0) and (5,0)
(0,-3/2) and (0, 5)
Remember that these are the zeros! But what are the factors?
(5x-2)
(2x+5)
(x+4)
(x-4)
What two things do you need to look at with transformations?
the zeros
the vertex
the domain
the minimum
Is it necessary to put g(x)=0 on Desmos?
Yes
No
What type of function does this table represent?
Hint: Read it! It tells you!
Linear
Quadratic
Exponential
What does percent mean?
(a)
Hint: Inside the parentheses put NEW/OLD,
a
b
c
d
How would you do this on Desmos?
What is the corresponding factor of x=2 ?
(x+2)
(x−2)
What is the corresponding factor of x=−3 ?
(x+3)
(x−3)
Keith determines the zeroes of the function f(x) to be -6 and 5. What could be Keith's function?
f(x) = (x + 5)(x + 6)
f(x) = (x + 5)(x - 6)
f(x) = (x - 5)(x + 6)
f(x) = (x - 5)(x - 6)
Remember that these are coordinates!
Which of the following represent these coordinates?
(2,4)
(4,2)
(-3,5)
(5,-3)
