Transformations Vertex Form Standard Form Review

What are the transformations?y=(x-2)²+4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

Which form of a quadratic function is f(x) = a(x-h)² + k?

• Standard form

• Vertex form

• Factored form

• Intercept form

Which of the following is a quadratic function?

• f(x) = 2x + 1

• f(x) = 3x² - 2x + 1

• f(x) = 5x

• f(x) = 4x³ + 2x² - x

What are the different forms of representation of a quadratic function?

• Vertex, slope-intercept, and factored form

• Intercept, point-slope, and standard form

• Vertex, standard, and factored form

• Intercept, slope-intercept, and vertex form

Which of the following transformations affects the parameter 'k' in a quadratic function written in vertex form?

• Horizontal translation

• Vertical translation

• Vertical stretch or compression

• Reflection across the x-axis

If the vertex of a parabola is (3, 2), what are the values of h and k in the vertex form?

• h = 3, k = 2

• h = 2, k = 3

• h = -3, k = -2

• h = -2, k = -3

Which of the following transformations will result in a parabola opening downward?

• A vertical stretch

• A vertical compression

• A horizontal translation

• A reflection across the x-axis

What transformation applyed to y = 2(x+3)² - 7 would change it into y = 2(x-3)² - 7? (multiple correct answers)

• Vertical shift 6 units upwards

• Reflection over y-axis

• Horizontal shift 6 units to the right

• Reflection across the

  x-axis

Which of the following transformations affects the parameter 'a' in a quadratic function?

• Vertical translation

• Horizontal translation

• Vertical stretch or compression

• Reflection across the

  x-axis

What is the equation of the axis of symmetry for a quadratic function in standard form, ax² + bx + c = 0?

• x = -b/2a

• x = -b/2c

• x = -c/2a

• x = -c/2b