Key Characteristics of Quadratic Equations

What is the vertex of the parabola in the form y = 2(x+3)^2 - 4?

• (-3, -3)

• (-3, -4)

• (-2, -4)

• (-4, -2)

Does the parabola y = -2(x-1)^2 + 5 open upwards or downwards?

• diagonally

• downwards

• sideways

• upwards

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

• x = 2

• y = 4(x-3)^2 + 2

• x = 3

• x = -2

How does the coefficient '4' affect the width of the parabola in the equation y = 4(x+1)^2 - 2?

• The coefficient '4' makes the parabola narrower.

• The coefficient '4' makes the parabola a straight line.

• The coefficient '4' makes the parabola wider.

• The coefficient '4' has no effect on the width of the parabola.

If the parabola y = 3(x-5)^2 + 2 is reflected over the x-axis, what is the new equation?

• y = 3(x-5)^2 - 2

• y = -3(x+5)^2 + 2

• y = -3(x-5)^2 - 2

• y = 3(x+5)^2 + 2

What is the axis of symmetry for the parabola given by the equation y = -1(x + 4)^2 + 7?

• x = -4

• y = 7

• x = 4

• y = -1

What are the coordinates of the minimum point for the function y = (x - 7)^2 + 10?

• (7, 10)

• (-7, 10)

• (10, 7)

• (-10, -7)

In the function y = -4(x + 3)^2 + 5, what are the coordinates of the maximum point?

• (-3, 5)

• (3, -5)

• (5, -3)

• (-5, 3)

For the quadratic function y = 2(x - 4)^2 - 9, what are the coordinates of the vertex?

• (4, -9)

• (-4, 9)

• (-9, 4)

• (9, -4)

• (4,-3)

• (-3,-22)

• (-4,3)

• (3, 14)