WorksheetsUnit 3 Topic 2 Online Test
Total questions: 20
Worksheet time: 2hrs 40mins
Given the equation of the parabola, determine the VERTEX and the NUMBER OF X-INTERCEPTS: y = 2(x - 4)2 + 3
vertex: (-4, 3) & has two x-intercepts
vertex: (4, 3) & has two x-intercepts
vertex: (4, 3) & has no x-intercepts
vertex: (-4, 3) & has no x-intercepts
Convert the following Standard Form equation into Vertex Form:
y = x2 + 8x + 11
y = (x + 4)2 - 5
y = (x + 8)2 + 16
y = (x + 4)2 + 26
none of the above
Convert the following Vertex Form equation into Standard Form:
y = -2(x - 2)2 + 3
y = -2x2 + 11
y = -2x2 + 8x - 5
y = -2x2 - 8x + 11
none of the above
Convert the Factored Form equation into Standard Form:
y = -(x + 4)(2x - 1)
y = -2x2 - 7x + 4
y = -2x2 + 7x - 4
y = -2x2 + 9x + 4
none of the above
Convert the following equation into Vertex Form to find the Vertex:
y = 2x2 + 8x - 30
(-2, -38)
(-4, -62)
(-8, -62)
(-4, -38)
Factor the following expression: 25x2 - 36
(5x + 6)(5x - 6)
(5x - 6)2
(5x + 6)2
(x + 5)(x - 6)
Factor the following expression:
3x2 - 13x - 10
3(x - 10)(x - 3)
(3x - 10)(x + 1)
(3x - 2)(x + 5)
none of the above
Factor the following expression:
x2 - 10x - 24
(x - 12)(x + 2)
(x - 6)(x - 4)
(x - 6)(x + 4)
(x + 12)(x - 2)
If you wanted to find the y-intercept of a parabola, which form would you want to use?
Vertex Form
Factored Form
Standard Form
none of the above
If you wanted to find the x-intercepts of a parabola, which form would you want to use?
Vertex Form
Factored Form
Standard Form
none of the above
If you wanted to find the vertex of a parabola, which form would you want to use?
Vertex Form
Factored Form
Standard Form
none of the above
Given the table, write the equation of the parabola in vertex form:
y = -2(x - 4)2 + 7
y = 2(x - 4)2 + 7
y = -2(x + 4)2 + 7
y = 2(x + 4)2 + 7
Write the equation of the parabola in VERTEX FORM:
y = -(x + 1)2 + 4
y = (x + 1)2 + 4
y = -(x - 1)2 + 4
y = (x - 1)2 + 4
Write the equation of the parabola in FACTORED FORM:
y = -(x - 3)(x + 1)
y = (x - 3)(x + 1)
y = -(x + 3)(x - 1)
y = (x + 3)(x - 1)
Amy is standing on a balcony and throws a water balloon into the air (aiming to soak her best friend Gia who is standing on the ground below). The water balloon's height (y) in feet above the ground compared to the time the ballon is in the air (x) in seconds, is modeled by the equation below. The equation is written in all 3 forms:
STANDARD FORM: y = -x2 + 4x + 21
VERTEX FORM: y = -(x - 2)2 + 25
FACTORED FORM: y = -(x - 7)(x + 3)
What is the maximum height the water balloon reaches?
2 feet
25 feet
21 feet
none of the above
Amy is standing on a balcony and throws a water balloon into the air (aiming to soak her best friend Gia who is standing on the ground below). The water balloon's height (y) in feet above the ground compared to the time the ballon is in the air (x) in seconds, is modeled by the equation below. The equation is written in all 3 forms:
STANDARD FORM: y = -x2 + 4x + 21
VERTEX FORM: y = -(x - 2)2 + 25
FACTORED FORM: y = -(x - 7)(x + 3)
After how many seconds does Gia get hit by the water balloon?
2 seconds
none of the above
3 seconds
7 seconds
Amy is standing on a balcony and throws a water balloon into the air (aiming to soak her best friend Gia who is standing on the ground below). The water balloon's height (y) in feet above the ground compared to the time the ballon is in the air (x) in seconds, is modeled by the equation below. The equation is written in all 3 forms:
STANDARD FORM: y = -x2 + 4x + 21
VERTEX FORM: y = -(x - 2)2 + 25
FACTORED FORM: y = -(x - 7)(x + 3)
How high above the ground is the balcony that Amy is standing on?
21 feet
25 feet
4 feet
none of the above
Amy is standing on a balcony and throws a water balloon into the air (aiming to soak her best friend Gia who is standing on the ground below). The water balloon's height (y) in feet above the ground compared to the time the ballon is in the air (x) in seconds, is modeled by the equation below. The equation is written in all 3 forms:
STANDARD FORM: y = -x2 + 4x + 21
VERTEX FORM: y = -(x - 2)2 + 25
FACTORED FORM: y = -(x - 7)(x + 3)
After how many seconds does the water balloon reach its maximum height?
2 seconds
7 seconds
3 seconds
none of the above
A parabola has x-intercepts at (3, 0) and (9, 0). What is the equation of the line of symmetry?
x = 5
x = 3
x = 9
x = 6
Given the Factored Form equation of the parabola, find the vertex:
y = (x - 2)(x + 4)
(-1, -9 )
(1, -5)
(0, 4)
(-1, -5)
