AnswersMathematics IQuadratic Functions: Vertex Form

Quadratic Functions: Vertex Form — Quiz Answers

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3

Sanjay begins to correctly graph the function f of x is equal to x plus 1 squared negative 3 Based on the axis of symmetry and the vertex, which graph could be Sanjay’s?

A
Image with description On a coordinate plane, a vertical dashed line at (1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (1, negative 3).
B
Image with description On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 1, negative 3).
C
Image with description On a coordinate plane, a vertical dashed line at (negative 3, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 3, 1).
D
Image with description On a coordinate plane, a vertical dashed line at (3, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (3, negative 1).
4

Which graph represents the function f of x is equal to open paren x minus 5 close paren squared plus 3 ?

A
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 8 to 2 in increments of 1. A parabola opens up and has a vertex at negative 5 comma negative 3.
B
Image with description On a coordinate plane, the scale on the x-axis ranges from negative 2 to 8 in increments of 1 and the scale on the y-axis ranges from negative 8 to 2 in increments of 1. A parabola opens up and has a vertex at 5 comma negative 3.
C
Image with description On a coordinate plane, the scale on the x-axis ranges from negative 8 to 4 in increments of 2 and the scale on the y-axis ranges from negative 6 to 6 in increments of 2. A parabola opens up with x-intercepts at negative 7 comma 0, and 1 comma 0.
D
Image with description On a coordinate plane, the scale on the x-axis ranges from negative 8 to 2 in increments of 1 and the scale on the y-axis ranges from negative 2 to 8 in increments of 1. A parabola opens up and lies in the second quadrant, above the x-axis. It has a vertex at negative 5 comma 3.
5

The graph of which function is decreasing over the interval open paren negative 4 comma infinity close paren ?

A
f of x is equal to negative x plus 4 squared plus 4
B
f of x is equal to x plus 4 squared plus 4
C
f of x is equal to x minus 4 squared negative 4
D
f of x is equal to negative x negative 4 squared minus 4
6

Which graph shows the axis of symmetry for the function f of x is equal to open paren x minus 2 close paren squared plus 1 ?

A
Image with description On a coordinate plane, a vertical dashed line at 2 comma 0 is parallel to the y-axis.
B
Image with description On a coordinate plane, a vertical dashed line at negative 1 comma 0 is parallel to the y-axis.
C
Image with description On a coordinate plane, a vertical dashed line at 1 comma 0 is parallel to the y-axis.
D
Image with description On a coordinate plane, a vertical dashed line at negative 2 comma 0 is parallel to the y-axis.
7

The graph of g of x is a translation of the function f of x is equal to x squared The vertex of g of x is located 5 units above and 7 units to the right of the vertex of f of x Which equation represents g of x ?

A
g of x is equal to x plus 5 squared plus 7
B
g of x is equal to open paren x plus 7 close paren squared plus 5
C
g of x is equal to x negative 5 squared plus 7
D
g of x is equal to x negative 7 squared plus 5
8

Over what interval is the graph of f of x is equal to negative x plus 8 squared minus 1 decreasing?

A
open paren negative infinity comma 8 close paren
B
open paren 8 comma infinity close paren
C
open paren negative infinity comma negative 8 close paren
D
open paren negative 8 comma infinity close paren
9

The function f of x is equal to x squared has been translated 9 units up and 4 units to the right to form the function g of x Which represents g of x ?

A
g of x is equal to open paren x minus 4 close paren squared plus 9
B
g of x is equal to open paren x plus 9 close paren squared minus 4
C
g of x is equal to open paren x plus 9 close paren squared plus 4
D
g of x is equal to open paren x plus 4 close paren squared plus 9
10

Which function has a range of start set y such that y is less than or equal to 5 end set ?

A
f of x is equal to x minus 4 squared plus 5
B
f of x is equal to x negative 5 squared plus 4
C
f of x is equal to negative x negative 4 squared plus 5
D
f of x is equal to negative x negative 5 squared plus 4

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