Graphing Quadratics in Vertex Form

The video tutorial by Nicholas JMV explains how to graph quadratic equations in vertex form. It covers the vertex form equation y = a(x-h)^2 + k, demonstrating how to identify the vertex and graph the parabola. Two examples are provided: y = -3(x+2)^2 + 4, which opens downward, and y = 2(x-3)^2 - 1, which opens upward. The tutorial emphasizes the importance of identifying the vertex and using symmetry to plot additional points for accurate graphing.

What is the vertex form of a quadratic equation?

• y = a(x + h) + k^2

• y = a(x - h)^2 + k

• y = ax^2 + bx + c

• y = ax^2 + k

If 'a' is negative in the vertex form of a quadratic equation, in which direction does the parabola open?

• Upwards

• Downwards

• Leftwards

• Rightwards

What does the constant 'k' represent in the vertex form of a quadratic equation?

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• The maximum value of y

• The slope of the parabola

In the vertex form of a quadratic equation, what does the term (x - h) represent?

• Opening of the parabola

• Shift along the x-axis

• Shift along the y-axis

• Narrowness of the parabola

How do you determine the vertex of the parabola from its equation in vertex form?

• It is the constant term

• It is the coefficient of x

• It is the coefficient of x squared

• It is derived from the terms within the parenthesis

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

• (2, 4)

• (-2, 4)

• (2, -4)

• (-2, -4)

What is the effect of squaring a negative number in the context of plotting a parabola?

• It becomes undefined

• It turns positive

• It remains negative

• It becomes zero

How do you find additional points to plot after identifying the vertex?

• By using the quadratic formula

• By calculating the derivative

• By adding and subtracting from the vertex coordinates

• By substituting values into the vertex form equation

What does the vertex (3, -1) tell you about the parabola for the equation y = 2(x - 3)^2 - 1?

• It shifts 3 units to the right

• It opens downwards

• It shifts 3 units to the left

• It is the lowest point on the graph

If you move 1 unit right from the vertex and the value of 'a' is 2, how much does the parabola rise?

• 2 units

• 8 units

• 1 unit

• 4 units