Answers Mathematics III ASquare Root Functions

Square Root Functions — Unit test Answers

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Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

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Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction 2 StartRoot 15 EndRoot Over 11 EndFraction

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot Over 11 EndFraction

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot i Over 11 EndFraction

Which point shows the location of 5 – 2i on the complex plane below?

point A

point B

point C

point D

Which function has a vertex on the y-axis?

f(x) = (x – 2)2

f(x) = x(x + 2)

f(x) = (x – 2)(x + 2)

f(x) = (x + 1)(x – 2)

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

m greater-than negative StartFraction 25 Over 8 EndFraction

m less-than negative StartFraction 25 Over 8 EndFraction

m less-than StartFraction 25 Over 8 EndFraction

m greater-than StartFraction 25 Over 8 EndFraction

If , which inequality can be used to find the domain of f(x)?

StartRoot 4 x EndRoot greater-than-or-equal-to 0

4 x + 9 greater-than-or-equal-to 0

4 x greater-than-or-equal-to 0

StartRoot 4 x + 9 EndRoot + 2 greater-than-or-equal-to 0

Which expression is equivalent to (3 + 5i)2?

–16 + 30i

6 + 34i

–16 – 34i

16 + 30i

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

If the discriminant of a quadratic equation is 4, which statement describes the roots?

There are two complex roots.

There are two real roots.

There is one real root.

There is one complex root.

Which equation represents a graph with a vertex at (1, –6)?

y = 3x2 + 6x – 3

y = 3x2 – 6x – 3

y = 3x2 – 8x – 1

y = 3x2 – 3x – 6

Which statements about the function are true? Select three options.

The vertex of the function is at (–4,–15).

The vertex of the function is at (–3,–16).

The graph is increasing on the interval x > –3.

The graph is positive only on the intervals where x 1.

The graph is negative on the interval x < –4.

Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?

y = negative 6 (x minus 1) squared + 8

y = negative 6 (x + one-fourth) squared + thirteen-eighths

y = negative 6 (x minus one-fourth) squared + nineteen-eighths

y = negative 6 (x minus one-half) squared + seven-halves

Solve for in the equation .

x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction

x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction

x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

Which equation is the inverse of y = 7x2 – 10?

y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction

y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot

y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction

Which equation is the inverse of y = x2 – 36?

y = plus-or-minus StartRoot x EndRoot + 6

y = plus-or-minus StartRoot x + 36 EndRoot

y = plus-or-minus StartRoot x EndRoot + 36

y = plus-or-minus StartRoot x squared + 36 EndRoot

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Square Root Functions — Unit test Answers

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