
Alg Writing Quadratic Equations in Vertex Form and Standard Form
Authored by James Soder
Mathematics
8th - 10th Grade
CCSS covered
Used 8+ times

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40 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
A parabola has a vertex at (1,6) and passes through (3,-18). Solve for "a" and use it to 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
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Your teacher gives you an equation in vertex form and wants you to convert it to standard form. Which one of the following describes the steps in the correct order?
1- Distribute the "a" value.
2- Square the expression in parentheses.
3- Combine like terms.
1- Sketch the graph on the coordinate plane.
2- Identify 2 ordered pairs.
3- Use STAT-EDIT and STAT>CALC-Option 4 (LinReg)
1- Square the expression in parentheses.
2- Combine Like Terms.
3- Distribute the "a" value.
1- Square the expression in parentheses.
2- Distribute the "a" value.
3- Combine like terms.
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A parabola has a vertex at (-1.5,12.5) and passes through (0,8). Solve for "a" and write the equation in vertex form.
Formula: f(x) = a(x - h)2 + k
y = -1.5(12.5 - 8)2
y = 2(x + 0)2 + 8
y = -2(x + 1.5)2 + 12.5
y = 8(x + 1.5)2 - 12.5
None of the above
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.SSE.A.1
CCSS.HSG.GPE.A.2
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Convert the equation from vertex form to standard form:
y = -3(x + 5)2 - 4
y = 9x2 - 15x + 21
y = -3x2 - 75x - 4
y = 9x2 + 90x + 221
y = -3x2 - 30x - 79
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Convert the equation into standard form:
y = -5(x + 2)2 - 10
y = -5x2 - 20x - 30
y = -5x2 - 4x - 10
y = 25x2 + 100x + 90
y = 25x2 - 10x - 30
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?
Formula: f(x) = a(x - h)2 + k
-11 = a(10 - 6)2 + 5
y = -(10 - h)2 + k
y = -(x - 6)2 + 5
y = (x - 6)2 + 5
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
Tags
CCSS.8.G.A.3
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