Write equations in Vertex and Standard Form from the graph
Authored by Jesusa Gomez
Mathematics
9th Grade
CCSS covered
Used 16+ 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). 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
Tags
CCSS.HSA.SSE.B.3
CCSS.HSA.SSE.A.2
CCSS.HSA.CED.A.1
2.
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
Tags
CCSS.HSA.SSE.A.2
CCSS.HSF.IF.C.8
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Convert the equation from vertex form (shown) to standard form:
y = -3(x + 5)2 - 4
Formula: y = ax2 + bx + c
y = 9x2 - 15x + 21
y = -3x2 - 75x - 4
y = 9x2 + 90x + 221
y = -3x2 - 30x - 79
Tags
CCSS.HSA.SSE.B.3
CCSS.HSA.SSE.A.2
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
y = 2(x - 7)2 + 4
Given the equation above, which of the following statements is FALSE?
The graph opens upward.
The vertex is at (7, 4).
The parabola crosses the x-axis twice.
The standard form is y= 2x2 - 28x + 102.
The axis of symmetry is x = 7.
Tags
CCSS.HSF-IF.C.7A
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 SELECT QUESTION
15 mins • 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
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