Graphing Parabolas Quiz

What is the vertex of the parent graph y = x^2?

• (0, 0)

• (1, 1)

• (2, 4)

• (-1, 1)

How do you determine the direction a parabola opens?

• By the vertex

• By the y-intercept

• By the sign of the coefficient of x^2

• By the x-intercept

In the equation y = (x + 4)^2, what transformation is applied to the parent graph?

• Shift up 4 units

• Shift right 4 units

• Shift left 4 units

• Shift down 4 units

What is the range of the parabola y = -(x - 5)^2 + 3?

• [5, ∞)

• (-∞, 5]

• [3, ∞)

• (-∞, 3]

How do you graph a parabola that opens downward?

• Shift the points up

• Shift the points down

• Reflect the points over the y-axis

• Reflect the points over the x-axis

What is the effect of a negative sign in front of the x^2 term in a parabola's equation?

• The parabola opens downward

• The parabola opens upward

• The parabola shifts right

• The parabola shifts left

In the practice problem y = (x - 3)^2, what is the direction of the shift?

• Down 3 units

• Up 3 units

• Left 3 units

• Right 3 units

What is the domain of any parabola?

• All real numbers

• Positive numbers only

• Negative numbers only

• Non-negative numbers

How do you use the parent graph table to graph a transformed parabola?

• Use it as movements from the vertex

• Use it as ordered pairs

• Use it to find the x-intercept

• Use it to find the y-intercept

In the equation y = -(x + 6)^2 + 4, what is the vertex of the parabola?

• (-6, 4)

• (6, 4)

• (-6, -4)

• (6, -4)