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WorksheetsFeatures of Quadratics Practice
Total questions: 15
Worksheet time: 28mins
2) Write down the features of the above graph since it will appear multiple times.
2a) What is the vertex of the above graph?
(3, -1)
(-1, 3)
3,-1
(3,-0.5)
Which of the following does not belong?
Zeros
Roots
x-intercepts
solutions
y-intercepts
This parabola has 2 roots (x-intercepts), what is one of them?
(-1,9)
(0,-8)
(-4,0)
(0,0)
How many x-intercepts does this parabola have?
0
1
2
none of the above
What is the name of the point where the parabola crosses the y-axis?
Zero
Solution
y-intercept
x-intercept
What are the x-intercepts of this parabola?
(1, 0) and (5, 0)
(-5, 0)
(3, 0) and (4, 0)
(0, 0) and (5, 0)
A grapefruit is shot up into the air with a catapult. The function h given by
h(t)=30+75t−16t2 models the orange's height, in feet, t seconds after it was launched.Select all the true statements about the situation
The domain of function h only contains values greater than or equal to 0
The grapefruit is at the same height 1 second after launch and 2 seconds after lunch
After 3 seconds, the grapefruit has hit the ground
The grapefruit is 30 feet above the ground when it is launched
The value t=10 does not belong to the domain of h
Here is a pattern of squares, S represents the number of small squares in the pattern as a function of n, the step number.
Which expression could define S?
4n
n+4
n2+3
n2+4
A company finds that if it charges x dollars for a game, it can expect to sell 18 - 1/2x games. The company uses the function r defined by
f(x)=18−21x2What do the x-intercepts mean in this situation?
The game price at which the company would make the most revenue
The game price at which the company would make the least revenue
The game price at which the company would make $0
The game price at which the company would make a negative amount of money
Kinsley is comparing to functions
f(x)=5⋅x2 and g(x)=3⋅3x to find out which one has greater output values as x gets very large.She notices that f(1)=5 and g(x)=9 She concludes that as x continues to grow, the values of f will be greater than the values of g.
Select all true statements.
She is correct because f(x)>g(x) for x values 1-5
She is incorrect because if we create an input-output table for each function and extend the table to values beyond 5, we'll see values of g are larger
She is correct because if we create an input-output table for each function and extend the table to values beyond 5, we'll see values of f are larger
She's incorrect. She didn't look at a large enough domain. After the intersection after x=5, values of g exceed the values of f
She is correct because f(1)=5 > g(1) = 9
A company finds that if it charges x dollars for a game, it can expect to sell 18 - 1/2x games. The company uses the function r defined by
f(x)=18−21x2What price should they sell the game to make maximum revenue?
(a)
