Precalc Quiz 2.1 to 2.2
Authored by Kelly Miller
Mathematics
11th Grade
CCSS covered
Used 25+ times
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About
This precalculus quiz covers quadratic and polynomial functions, specifically focusing on key characteristics and transformations that are essential for 11th-grade students. The questions assess students' ability to find vertices of parabolas in standard form, write quadratic equations in vertex form using given information, determine x-intercepts through factoring, and analyze end behavior of polynomial functions based on leading coefficients and degrees. Students need a solid foundation in completing the square, understanding the vertex form of quadratic functions, factoring techniques, and the relationship between polynomial degree, leading coefficient, and end behavior. The quiz also requires students to find zeros of higher-degree polynomials through factoring and identify relative extrema, which demands understanding of how to factor expressions like differences of squares and recognize patterns in polynomial behavior. Created by Kelly Miller, a Mathematics teacher in the US who teaches grade 11. This quiz provides an excellent tool for formative assessment of students' understanding of polynomial functions after covering the foundational concepts in chapters 2.1 and 2.2. The questions can be effectively used as a quick warmup to review key concepts before advancing to more complex polynomial topics, or as homework to reinforce classroom learning about quadratic transformations and polynomial characteristics. Teachers can also utilize this quiz for review sessions before unit tests, as it covers the essential skills students need to master before progressing to more advanced topics like rational functions and conic sections. The content aligns with Common Core standards A-APR.3 for identifying zeros of polynomials and F-IF.7 for graphing polynomial functions, as well as F-BF.3 for understanding the effects of transformations on function graphs.
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7 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What is the vertex of y=x2+4x+3?
Tags
CCSS.HSA.REI.B.4
CCSS.HSA.REI.D.10
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
f(x)=(x-4)2-2
f(x)=-4(x-4)2-2
f(x)=1/4(x+4)2-2
f(x)=-1/4(x-4)2-2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Identify the x-intercepts.
x2 + 4x - 12
x = 2 and -2
x = -6 and 2
x = 6 and -2
x = 1 and -1
Tags
CCSS.HSF-IF.C.7A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which function has this end behavior?
Rising to right
Rising to the left
1x4-3x3+3
-2x4+2x3+4
-3x8+3x5-4x+7
4x5-4x4+2x3-9
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Describe the end behavior of the graph.
rising in the right, rising on the left
falling on the right, falling on the left
rising on the right, falling on the left
falling on the right, rising on the left
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the zeros of the polynomial function
P(x)=x4-16x2?
-4, 4,
0, 4, -4
16
0, 16
Tags
CCSS.HSF-IF.C.7C
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Describe the relative extrema of the polynomial function
P(x)=x4-6x2?
none
max (0, 0); min (-1.7, -9), (1.7, -9)
-2.4, 2.4
0, 6
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