Unit Test Answers

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

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.

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

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

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

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

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

The function f(x) = –x2 – 4x + 5 is shown on the graph.

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

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.

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?

What is the axis of symmetry of h(x) = 6x2 − 60x + 147?

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

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