Answers FL-1200700-Mathematics for College Algebra MISSolving Quadratic Equations: Square Root Property

Solving Quadratic Equations: Square Root Property — Unit test Answers

0 verified answers1 views

Free Preview

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.

Free Preview

Brianna is graphing the function f(x) = x2 + 6x + 5. What x-intercepts should Brianna use to graph f(x)?

–5 and –1

–5 and 1

–1 and 5

1 and 5

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?

x2 + x = 42

x2 + 2x = 42

x2 + x + 42 = 0

x2 + 2x + 42 = 0

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.

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?

f(x ) = x – |42.67|

f(x ) = |x| – 42.67

f(x ) = |42.67 – x|

f(x ) = 42.67 – |x|

Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula below?Quadratic formula: x =

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(1) EndRoot Over 2(4) EndFraction

x = StartFraction negative 2 plus or minus StartRoot 2 squared + 4(4)(negative 1) EndRoot Over 2(4) EndFraction

x = StartFraction negative 2 plus or minus StartRoot negative 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

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)

What is the vertex of the absolute value function below?

(4, –1)

(1, –4)

(1, 4)

(4, 1)

What are the solutions to x2 + 8x + 7 = 0?

x = –8 and x = –7

x = –7 and x = –1

x = 1 and x = 7

x = 7 and x = 8

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form.f(x) = 5x2 + 40xFactor a out of the first two terms.f(x) = 5(x2 + 8x)Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16)What is the function written in vertex form?

f(x) = 5(x + 4) – 80

f(x) = 5(x + 8) – 80

f(x) = 5(x + 4)2 – 80

f(x) = 5(x + 8)2 – 80

What are the values of a, b, and c in the quadratic equation 0 = 5x – 4x2 – 2?

a = 5, b = 4, c = 2

a = 5, b = –4, c = –2

a = –4, b = 5, c = –2

a = 4, b = –5, c = –2

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

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 results from taking the square root of both sides of (x – 9)2 = 81?

x – 9 = ±9

x + 9 = ±9

x + 3 = ±9

x – 3 = ±9

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

(0,8)

(0,–8)

(9,0)

(–9,0)

What is the first step in solving the quadratic equation -5x2+8=133?

taking the square root of both sides of the equation

subtracting 8 from both sides of the equation

squaring both sides of the equation

adding 8 to both sides of the equation

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).