How to graph a parabola in vertex form with a vertical compression

The video tutorial explains how to identify the axis and vertex of a parabola, plot the vertex, and understand the graph's orientation based on the value of 'a'. It covers choosing appropriate values for graphing a stretched parabola and calculating points to ensure integer values. The lesson concludes with reflecting points over the axis of symmetry and emphasizes the ease of finding the vertex in vertex form.

What is the vertex of a parabola given in vertex form y = a(x-h)^2 + k?

• The point (a, h)

• The point (h, k)

• The point (a, k)

• The point (0, 0)

How does the graph of a parabola change when the coefficient 'a' is negative?

• The parabola does not change

• The parabola becomes a straight line

• The parabola opens downwards

• The parabola opens upwards

What effect does an absolute value of 'a' less than 1 have on a parabola?

• It causes a vertical stretch

• It causes no change

• It causes a vertical compression

• It causes a horizontal stretch

Why is it beneficial to choose x-values that result in integer outputs when plotting a parabola?

• It makes the graph more colorful

• It changes the vertex of the parabola

• It simplifies the graphing process

• It makes the parabola open upwards

What is the purpose of reflecting points over the axis of symmetry when graphing a parabola?

• To determine the axis of symmetry

• To find the vertex of the parabola

• To change the direction of the parabola

• To create a mirror image of the graph