Solving Quadratic Equations: Square Root Property — Unit test Answers

The steps in writing f(x)=18x+3x2 in vertex form are shown, but a value is missing in the last step.Write the function in standard form. Factor a out of the first two terms. f(x)=3(x2+6x)Form a perfect square trinomial. f(x)=3(x2+6x+9)−3(9) Write the trinomial as a binomial squared. f(x)=3(x+___)2−27

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.The domain is {x| x ≥ 3}.The range is {y| y ≥ –1}.The function decreases over the interval (–∞, 3).The axis of symmetry is x = –1.The vertex is (3, –1).

Which function has a vertex on the y-axis?

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

Which is a solution to the equation?(x − 3)(x − 5) = 35

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.The axis of symmetry is the line x = 6.The vertex of the graph is at (–6, –11).The parabola has a minimum.The parabola opens down.The value of h, when the equation is written in vertex form, is positive.

The graph of the function f(x) = (x + 2)(x − 4) is shown.

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

What is the range of the function f(x) = −(x + 3)2 + 7?

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.The vertex is the maximum value.The axis of symmetry is x = .The domain is all real numbers. The range is all real numbers.The function is decreasing from (−∞, 6.75).

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?