Graphing a quadratic function in vertex form with horizontal translation

The video tutorial explains how to graph the equation y = (x - 4)^2 using transformations from the vertex form. It covers the roles of parameters a, h, and k in shifting and shaping the graph. The tutorial demonstrates shifting the graph right by 4 units, identifying the new vertex, and determining the axis of symmetry. It also explains how to plot additional points and find the X and Y intercepts, concluding with a summary of the graph's characteristics.

What is the effect of the parameter 'a' in the vertex form of a quadratic equation?

• It shifts the graph up or down.

• It shifts the graph left or right.

• It changes the color of the graph.

• It reflects and dilates the graph.

In the equation y = (x - 4)^2, what is the value of h and how does it affect the graph?

• h = 4, shifts the graph right.

• h = 4, shifts the graph left.

• h = 0, shifts the graph up.

• h = -4, shifts the graph left.

Where is the new vertex located after shifting the graph of y = (x - 4)^2?

• (0, 0)

• (-4, 0)

• (4, 0)

• (0, 4)

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

• x = 0

• x = 4

• y = 4

• y = 0

What is the y-intercept of the graph of y = (x - 4)^2?

• (16, 0)

• (0, 16)

• (0, 0)

• (4, 0)