Graphing a parabola with a horizontal and vertical translation

The video tutorial explains how to graph a quadratic function using vertex form. It covers identifying the axis of symmetry, finding the vertex, and graphing the function. The instructor emphasizes understanding transformations and using standard form to find additional points on the graph. The tutorial concludes with finalizing the graph by following a pattern based on the standard form.

What is the axis of symmetry for the equation in vertex form?

• X = H

• Y = K

• X = -H

• Y = -K

How can the expression X + 1 be rewritten in terms of subtraction?

• X - 1

• X + (-1)

• X + 1

• X - (-1)

What is the vertex of the function Y = (X + 1)^2 - 3?

• (1, 3)

• (-1, 3)

• (1, -3)

• (-1, -3)

If the value of A in the quadratic function is positive, what does it indicate about the graph?

• The graph is a vertical line

• The graph is a horizontal line

• The graph opens upwards

• The graph opens downwards

What is the first point plotted after the vertex in the standard form of Y = X^2?

• (2, 2)

• (1, 1)

• (0, 1)

• (1, 0)

How do you find additional points on the graph of Y = X^2?

• Use a ruler

• Estimate visually

• Follow the pattern of over 1, up 1; over 2, up 4

• Use a calculator

What transformation is applied to the graph of Y = X^2 to obtain Y = (X + 1)^2 - 3?

• Shift left 1, down 3

• Shift right 1, down 3

• Shift left 1, up 3

• Shift right 1, up 3