AnswersPA PCS Math 1 2026 Fall Sem XRQuadratic Functions: Standard Form

Quadratic Functions: Standard Form Answers

19 verified answers1 views
1
Free Preview

The graph of which function will have a maximum and a y-intercept of 4?

A
f(x) = 4x2 + 6x – 1
B
f(x) = –4x2 + 8x + 5
C
f(x) = –x2 + 2x + 4
D
f(x) = x2 + 4x – 4
3

when x –1for all real numbers of xfor no values of x

A
when x < –1
B
when x > –1
C
for all real numbers of x
D
for no values of x
4

all real numbersall real numbers less than –1all negative real numbersall positive real numbers

A
all real numbers
B
all real numbers less than –1
C
all negative real numbers
D
all positive real numbers
5

all real numbersall real numbers less than –1all numbers less than or equal to 0all numbers greater than or equal to 0

A
all real numbers
B
all real numbers less than –1
C
all numbers less than or equal to 0
D
all numbers greater than or equal to 0
6

Use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1.

Answers:
The vertex is the .:maximum value
The function is increasing .:when x < –1
The function is decreasing .:when x > –1
The domain of the function is .:all real numbers
The range of the function is .:all numbers less than or equal to 0
8

The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.

A
The vertex is the maximum value.
B
The axis of symmetry is x = –4.
C
The domain is all real numbers.
D
The range is all real numbers.
E
The function is increasing over (–∞, –4).
F
The x-intercepts are at (–6, 0) and (–2, 0).
10

Which functions have an axis of symmetry of x = –2? Check all that apply.f(x) = x2 + 4x + 3f(x) = x2 – 4x – 5f(x) = x2 + 6x + 2 f(x) = –2x2 – 8x + 1f(x) = –2x2 + 8x – 2

A
f(x) = x2 + 4x + 3
B
f(x) = x2 – 4x – 5
C
f(x) = x2 + 6x + 2
D
f(x) = –2x2 – 8x + 1
E
f(x) = –2x2 + 8x – 2
13

[___]

Answer:

2

14

Which must be true of a quadratic function whose vertex is the same as its y-intercept?

A
The axis of symmetry for the function is x = 0.
B
The axis of symmetry for the function is y = 0.
C
The function has no x-intercepts.
D
The function has 1 x-intercept.
15

Which error did Mathieu make?

A
He factored incorrectly.
B
He did not use the constant as the x-intercept.
C
He set the factored expressions equal to each other.
D
He incorrectly solved the equation x + 3 = x + 1.
16

minimum valuemaximum valuey-intercept

A
minimum value
B
maximum value
C
y-intercept
17

✔ –301.515

A
–3
B
0
C
1.5
D
15
19

when x –1for all real numbers of xfor no values of x

A
when x < –1
B
when x > –1
C
for all real numbers of x
D
for no values of x

Did you find these answers helpful?