Modeling with Quadratic Functions Answers

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3

3412

A
3
B
4
C
12
7

–1112

A
–1
B
1
C
12
8

Evaluate Jessica’s work and Sally’s review to determine which statement is true.

A
Jessica did not solve for the correct value of a, but Sally’s review is correct.
B
Jessica did not solve for the correct value of a, and Sally’s review is incorrect.
C
Jessica solved for the correct value of a, but Sally’s review was incorrect.
D
Both Jessica’s work and Sally’s review are correct. The equation is f(x) = –2(x – 8)2 – 11.
11

The curve produced by the water coming from a hose is sketched onto a graph with zeros at 0 and 5. The point (4, 1) also lies on the curve. If h(x) represents the vertical distance from where the water first comes out of the hose and x represents the horizontal distance, which statements are true? Check all that apply.The scenario can be represented by the function h(x) = –0.25(x)(x – 5). The scenario can be represented by the function h(x) = (x)(x + 5).The vertex is on the line x = 2.5.The greatest height that the water reaches is 1.5 units.The scenario can be represented by the function h(x) = –1(x – 5).

A
The scenario can be represented by the function h(x) = –0.25(x)(x – 5).
B
The scenario can be represented by the function h(x) = (x)(x + 5).
C
The vertex is on the line x = 2.5.
D
The greatest height that the water reaches is 1.5 units.
E
The scenario can be represented by the function h(x) = –1(x – 5).
12

[___] meters

Answer:

12.5

13

What would have to occur for the US to simplify its amendment process?

A
The US would have to create a new constitution.
B
The president would have to make a proposal to the states.
C
The Supreme Court would have to make a proposal to the states.
D
The US would have to pass an amendment changing the process.
14

Why is it so difficult to pass a constitutional amendment in the US? Choose three correct answers.A proposed amendment must be ratified by three-fourths of state legislatures or state conventions.A proposed amendment must be ratified by the president or a public referendum.A proposed amendment must be ratified by three-fourths of state legislatures or the Supreme Court.An amendment must be proposed by two-thirds of Congress.An amendment must be proposed by two-thirds of states at a convention.

A
A proposed amendment must be ratified by three-fourths of state legislatures or state conventions.
B
A proposed amendment must be ratified by the president or a public referendum.
C
A proposed amendment must be ratified by three-fourths of state legislatures or the Supreme Court.
D
An amendment must be proposed by two-thirds of Congress.
E
An amendment must be proposed by two-thirds of states at a convention.
15

According to the passage, what do the 14th Amendment and the Declaration of Independence state about citizenship?

A
Everyone born in the US can apply for citizenship.
B
Everyone born in the US has equal citizenship.
C
US traditions determine the type of citizenship people can have.
D
Everyone is created equal, but there are different types of citizenship.
16

How has the Equal Protection Clause been used since the Reconstruction era? Choose two correct answers.to prevent certain specific groups from votingto extend marriage rights to same-sex couplesto stop the expansion of the Confederacy to new statesto protect children’s right to equal educational opportunitiesto change the process for amending the Constitution

A
to prevent certain specific groups from voting
B
to extend marriage rights to same-sex couples
C
to stop the expansion of the Confederacy to new states
D
to protect children’s right to equal educational opportunities
E
to change the process for amending the Constitution
18

3412

A
3
B
4
C
12

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