Solving Quadratic Equations: Square Root Property — Unit test Answers

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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.

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

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

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

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

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

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

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