Algebra 2 MCR Ch 2 Test

Which transformation is represented by the function g(x) if f(x) = x^2 is translated 2 units up?

• g(x) = x^2 + 2

• g(x) = x^2 - 2

• g(x) = (x - 2)^2

• g(x) = (x + 2)^2

What is the effect of reflecting the graph of f(x) = x^2 in the x-axis?

• The graph shifts up

• The graph shifts down

• The graph flips upside down

• The graph remains unchanged

What is the axis of symmetry for the function f(x) = 3(x - 4)^2 + 2?

• x = 4

• x = -4

• y = 4

• y = -4

Which transformation is applied to f(x) = x^2 to obtain g(x) = -5x^2 + 10x - 1?

• Reflection in the x-axis

• Vertical stretch

• Horizontal shift

• All of the above

What is the vertex of the function f(x) = -5x^2 + 10x - 1?

• (1, 4)

• (-1, 4)

• (1, -4)

• (-1, -4)

Which of the following functions represents a vertical stretch of f(x) = x^2 by a factor of 3?

• g(x) = 3x^2

• g(x) = x^2 + 3

• g(x) = (3x)^2

• g(x) = x^2 - 3

What is the effect of translating the graph of f(x) = x^2 four units to the left?

• The graph shifts to the right

• The graph shifts to the left

• The graph shifts up

• The graph shifts down

If f(x) = x^2 is translated four units to the left, what is the equation of the new function?

• g(x) = (x + 4)^2

• g(x) = (x - 4)^2

• g(x) = x^2 + 4

• g(x) = x^2 - 4

If f(x) = x^2 is reflected in the y-axis, what is the equation of the new function?

• g(x) = x^2

• g(x) = -x^2

• g(x) = (-x)^2

• g(x) = x^2 - 2

What are the x-intercepts of the function g(x) = -1(x - 4)(x + 2)?

• -4 and 2

• 4 and -2

• 0 and 4

• -2 and 4