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WorksheetsUNIT 7 - Graphing parabolas
Total questions: 24
Worksheet time: 1hrs 14mins
What is the y-intercept of this parabola?
(0, 3)
(5, 0)
(−2, 5)
(0, 5)
How do you know if a parabola has a minimum?
When ‘a’ is positive there is a minimum
When ‘a’ is negative there is a minimum
When all the numbers in the equation are negative there is a minimum
When all the numbers in the equation are positive there is a minimum
Does y = 2x2 + 5x - 8 have a maximum or minimum?
minimum
maximum
What is the equation for axis of symmetry?
y = 3
x = 3
x = 5
x = 1
For the quadratic y = x2 + 4x + 7, What is the vertex?
(-2, 3)
(3, -2)
(0, 7)
(2, 3)
Given the equation y = -2x2 + 5, if the +5 is changed to another integer, which of the following will happen?
the roots will be the same
the parabola will open up
the vertex will be different
the graph will be vertically stretched or compressed
How does y = -4x2 compare to the parent function?
It opens up
It's vertically compressed
It's vertically stretched
It's shifted down
Which graph is vertically compressed the most?
y = -5x2 - 10x
y = 0.5x2 + 10x - 3
y = 1/3x2 - 8
y = 3x2 + 8x + 6
What is the range of the parabola?
x < 4
y > 4
x > 4
y < 4
What's the y-intercept of y = 3x2 - 6x + 4
(4,0)
(-4,0)
(0,-4)
(0,4)
Given the parabola above, what are values of x when y = -3?
-1 and 3
1 and -4
0 and 2
-2 and 4
How many zeros does this parabola have?
3
2
0
1
If the roots of a parabola are at 5 and 1, what is the equation for the axis of symmetry?
x = 0
x = 2.5
x = 3
x = 6
Which of the following points could be the root of a quadratic function?
(0, 5)
(-4, 0)
(2, 4)
(-3, 9)
The interval at which a zero can be found is?
0 < x < 1
1 < x < 2
2 < x < 3
3 < x < 4
What is the equation for the axis of symmetry given
y = x2 + 7x + 8?
x = 7
y = 8
y = -3.5
x = -3.5
How can you tell whether a parabola opens up or opens down by looking at the equation?
The vertex tells you the direction of the opening
The value of "a" tells you the direction of the opening.
All parabolas open upward
All parabolas open downward
Given the equation for this parabola:
y = -x2 - 3,
does this parabola have a maximum or minimum value?
Maximum
Minimum
Which function is best represented by this graph?
f(x) = -x2 - 4x
f(x) = x2 - 4x
f(x) = x2 + 4x
f(x) = -x2 + 4x
