Vertex Form and Quadratic Graphs

The video tutorial explains how to graph quadratic functions, focusing on the parent graph y = x^2 and its transformation into a parabola. It introduces the vertex form of a quadratic equation, allowing quick identification of the vertex. The tutorial covers graph transformations, including reflection and horizontal compression, and demonstrates how to check and reflect points across the axis of symmetry. The session concludes with a summary and a Q&A segment.

What is the parent graph of a quadratic function?

• y = x^3

• y = |x|

• y = x^2

• y = x

How does a parabola differ from an absolute value graph?

• It is v-shaped

• It is u-shaped

• It is linear

• It is circular

Where is the vertex located in the parent graph of y = x^2?

• (-1, -1)

• (0, 0)

• (1, 1)

• (2, 2)

What is the vertex form of a quadratic equation?

• y = ax + b

• y = ax^2 + bx + c

• y = a(x-h)^2 + k

• y = a|x| + b

In vertex form, how do you identify the vertex?

• (a, b)

• (h, k)

• (x, y)

• (b, c)

What is the axis of symmetry in vertex form?

• x = h

• x = k

• x = b

• x = a

What happens to the graph when 'a' is negative?

• It becomes a circle

• It becomes linear

• It opens downwards

• It opens upwards

What does a horizontal compression do to the graph?

• Stretches it vertically

• Compresses it horizontally

• Reflects it over the x-axis

• Moves it to the right

How do you apply horizontal compression to a graph?

• Subtract a constant from y

• Multiply x by a factor

• Multiply y by a factor

• Add a constant to x

How can you verify the accuracy of your graph?

• By plugging in points

• By checking symmetry

• By guessing

• By drawing freehand