
Quadratic Equations Standard Form and Vertex Form
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?
-11 = a(10 - 6)2 + 5
y = -(10 - h)2 + k
y = -(x - 6)2 + 5
y = (x - 6)2 + 5
2.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Which answer choice(s) below correctly show(s) an equation in vertex form and in its standard form? (There may be more than 1.)
y = -3(x + 2)2 + 3
y = -3x2 - 12x - 15
y = 2(x + 5)2 + 1
y = 2x2 + 20x + 51
y = 0.5(x - 3)2 - 6
y = 0.5x2 - 3x - 1.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.
Formula: f(x) = a(x - h)2 + k
f(x) = 3(x - 1)2 - 18
f(x) = -6(x - 1)2 + 6
f(x) = 6(x - 3)2 - 18
f(x) = -3(x + 1)2 - 6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When given 3 or more ordered pairs on a parabola, which of the following is a method you can use to find the equation in standard form?
Make a table of values. Find the rate of change (slope) and y-intercept.
On the calculator, use STAT-EDIT to enter the values into L1 and L2. Then go to STAT>CALC and choose "QuadReg" (option 5).
3 ordered pairs will not give you enough information to find the equation for the parabola.
5.
MULTIPLE SELECT QUESTION
1 min • 1 pt
What information do you need to write an equation in vertex form? Select all that apply.
an ordered pair anywhere on the parabola
the coordinates for the vertex
the formula for standard form
the formula for vertex form
6.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Which of the following statements are TRUE? Select all that apply.
The "a" value is positive.
The y-intercept is positive.
It has two zeros.
The axis of symmetry is x = 1.
The vertex is at (0, 5).
Tags
CCSS.HSF-IF.C.7A
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the vertex.
(5, 2)
(5, -2)
(-5, 2)
(-5, -2)
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