NEW
Font size
S
M
L
XL
WorksheetsParabolas Standards Form
Total questions: 22
Worksheet time: 39mins
Name
Class
Date
1.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
2.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
3.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
4.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
5.
What is the y-intercept?
f(x) = -2x2 + 4x - 6
f(x) = -2x2 + 4x - 6
a)
(0, 6)
b)
(0, -6)
c)
(6, 0)
d)
(-6, 0)
6.
Determine the vertex of the parabola:
y = 5x2 - 20x + 13
y = 5x2 - 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
7.
Find the Vertex:
y = x2 + 6x + 2
y = x2 + 6x + 2
a)
(-3,-7)
b)
(1,6)
c)
(6,2)
d)
No Real Solution
8.
What is the name of this form:
y = ax2 + bx + c
y = ax2 + bx + c
a)
vertex form
b)
standard form
c)
factored form
d)
zero form
9.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
10.
What do you need to do to find the vertex of a parabola?
a)
find the axis of symmetry
b)
find the axis of symmetry and substitute into equation to find y-value
11.
The line of symmetry for this parabola is...
a)
x = 0
b)
y = 0
c)
x = 1
d)
y = 1
12.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
13.
If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the vertex?
a)
-a
b)
-b/a
c)
b/2a
d)
-b/2a
14.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
15.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
16.
What is the domain of all quadratic functions
a)
x ≥ 0
b)
x ≤ 0
c)
All real numbers
17.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
18.
What is the vertex?
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
19.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
20.
Which equation matches the graph? (Hint, use the y-intercept and "a" value)
a)
y = x2 - 2x + 3
b)
y = x2 - 2x - 3
c)
y = -x2 - 2x + 3
d)
y = 2x2 - 2x + 3
21.
In the standard form for quadratics, what do we need to be negative in order for the graph to open downwards?
a)
a
b)
b
c)
c
d)
x
22.
What is the range of this function?
a)
-4 ≤ y ≤ 5
b)
-1 ≤ x ≤ 3
c)
All Real Numbers
d)
y ≥ -4
Reset
