Answers WHS OH-Algebra I B-CRUnit Test

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Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

left 1 unit, up 5 units

right 1 unit, up 5 units

left 2 units, up 2 units

right 2 units, up 2 units

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The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.

The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

The domain is all real numbers less than or equal to 4, and the range is all real numbers.

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

(−4, 18)

(0, -2)

(-8, -2)

(−4, −18)

On a coordinate plane, a parabola opens up. It starts in quadrant 1, crosses the x axis where the vertex is in quadrant 4, and crosses the x-axis back into quadrant 1.

f(x) = (x – 8)2 + 6

f(x) = (x + 8)2 + 6

f(x) = (x + 8)2 – 6

f(x) = (x – 8)2 – 6

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

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).

On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).

Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

f(x) = –(x – 2)(x – 4)

f(x) = –(x + 2)(x + 4)

f(x) = –2(x – 2)(x – 4)

f(x) = –2(x + 2)(x + 4)

Consider the function shown on the graph.

f(x) = (x + 3)(x + 7)

f(x) = (x – 3)(x – 7)

f(x) = 3(x – 3)(x – 7)

f(x) = 11(x + 3)(x + 7)

Which function in vertex form is equivalent to f(x) = x2 + x +1?

f(x) = +

The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.f(x) = 4(x2 + 12x) + 10 = 36

f(x) = 4(x + 6)2 + 10

f(x) = 4(x + 6)2 – 26

f(x) = 4(x + 6)2 – 134

f(x) = 4(x + 6)2 + 154

Which function has an axis of symmetry of x = −2?

f(x) = (x − 1)2 + 2

f(x) = (x + 1)2 − 2

f(x) = (x − 2)2 − 1

f(x) = (x + 2)2 − 1

The function f(x) = −(x + 5)(x + 1) is shown.

all real numbers less than or equal to 4

all real numbers less than or equal to −3

all real numbers greater than or equal to 4

all real numbers greater than or equal to −3

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

The graph of f(x) = x2 is widened.

The graph of f(x) = x2 is shifted left 8 units.

The graph of f(x) = x2 is shifted down 44 units.

The graph of f(x) = x2 is reflected over the x-axis.

What are the x-intercepts of the function f(x) = –x2 – x + 2?

(–2, 0) and (1, 0)

(2, 0) and (1, 0)

(–2, 0) and (-1, 0)

(0, -2) and (0, 1)

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).

g(x) = (x + 5)2 + 2

g(x) = (x + 2)2 + 5

g(x) = (x – 2)2 + 5

g(x) = (x – 5)2 + 2

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).

The domain is all real numbers. The range is {y|y < 16}.

The domain is all real numbers. The range is {y|y ≤ 16}.

The domain is {x|–5 < x < 3}. The range is {y|y < 16}.

The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?

3 square units

6 square units

9 square units

12 square units

Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

(0,8)

(0,–8)

(9,0)

(–9,0)

According to one company’s profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 when 105 units are sold. What is the function that represents this company’s profit f(x) depending on the number of items sold, x?

f(x)=−2(x+105)2+18,050

f(x)=−2(x−105)2+18,050

f(x)=−10(x+105)2+18,050

f(x)=−10(x−105)2+18,050

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?

The graph of f(x) = x2 is widened.

The graph of f(x) = x2 is shifted left 3 units.

The graph of f(x) = x2 is shifted up 30 units.

The graph of f(x) = x2 is reflected over the x-axis.

Which graph represents the function f(x) = –x2 + 5?

On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4).

On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9).

On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9).

On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).

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