AnswersFL-1200380-Algebra 1-BPerformance Task: Daredevil Danny

Performance Task: Daredevil Danny Answers

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On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.7, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.5, negative 2.75), (3, negative 2), (6, 4).

Question illustration
A
–3
B
–2
C
2
D
3
2
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What is the axis of symmetry of h(x) = 6x2 − 60x + 147?

A
x = −5
B
x = −3
C
x = 3
D
x = 5
3

Which statements are true about the graph of the function h(x) = –5x2 + 60x – 200? Select three options.The axis of symmetry is the line x = –6.The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.The vertex of the graph is at (6, –20).The parabola has a maximum.The value of k, when the equation is written in vertex form, is –200.

A
The axis of symmetry is the line x = –6.
B
The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.
C
The vertex of the graph is at (6, –20).
D
The parabola has a maximum.
E
The value of k, when the equation is written in vertex form, is –200.
4

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). Her work is shown.Which best describes the first error in Jan'ai's work?

Question illustration
A
She incorrectly determined the factors for the beginning function.
B
She incorrectly determined the a value.
C
She incorrectly transformed the equation to standard form.
D
She incorrectly determined the x-coordinate of the vertex.
5

Given the function f(x) = −2x2 + 4x − 7, find f(−4).

A
−55
B
−7
C
9
D
25
6

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

A
g(x) = (x − 7)2 − 3
B
g(x) = (x + 7)2 − 3
C
g(x) = (x − 3)2 − 7
D
g(x) = (x − 3)2 + 7
7

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.

A
The domain is {x| x ≥ 3}.
B
The range is {y| y ≥ –1}.
C
The function decreases over the interval (–∞, 3).
D
The axis of symmetry is x = –1.
E
The vertex is (3, –1).
8

What is the range of the function f(x) = −(x + 3)2 + 7?

A
all real numbers less than or equal to 7
B
all real numbers greater than or equal to 7
C
all real numbers less than or equal to −3
D
all real numbers greater than or equal to −3
9

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Question illustration
A
all real values of x where x < −2
B
all real values of x where −2 < x < 4
C
all real values of x where 1 < x < 4
D
all real values of x where x < 0
10

three

T
The vertex of the function is at (–4,–15).
T
The vertex of the function is at (–3,–16).
T
The graph is increasing on the interval x > –3.
T
The graph is positive only on the intervals where x 1.
T
The graph is negative on the interval x < –4.
11

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

3
3
6
6
1
112
1
121
12

Which is the graph of the function f(x) = x2 + 2x + 3?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options.The value of f(–10) = 82The graph of the function is a parabola.The graph of the function opens down.The graph contains the point (20, –8).The graph contains the point (0, 0).

Question illustration
A
The value of f(–10) = 82
B
The graph of the function is a parabola.
C
The graph of the function opens down.
D
The graph contains the point (20, –8).
E
The graph contains the point (0, 0).
14

Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?

A
–8
B
–4
C
0
D
1
15

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

−
−8
−
−4
3
33
4
49

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