Graphing Quadratics in Vertex Form: Key Concepts and Techniques

What is the vertex of the quadratic equation in the first example?

• (3, 4)

• (7, 5)

• (0, 0)

• (5, 7)

Why is it helpful to draw the axis of symmetry when graphing a quadratic equation?

• It is required for all types of graphs.

• It helps in reflecting points accurately.

• It makes the graph look better.

• It helps in identifying the vertex.

If the axis of symmetry is at x = 5, which pairs of x-values will give the same y-values?

• (3 and 5), (4 and 6)

• (5 and 5), (6 and 4)

• (2 and 8), (1 and 9)

• (4 and 6), (3 and 7)

What is the y-value when x = 4 in the first example?

• 0

• 4

• 7

• -5

What is the y-value when x = 3 in the first example?

• -5

• 4

• 7

• 0

Why is it important to ensure the parabola curves and does not form a point?

• To accurately represent the quadratic function.

• To make it look like an absolute value graph.

• To fit more points on the graph.

• To make it easier to draw.

What is the vertex of the quadratic equation in the second example?

• (0, 0)

• (5, 7)

• (3, 3)

• (6, 12)

Why is it helpful to choose multiples of three when plugging in values for the second example?

• Because the equation involves one-third x squared.

• Because it fits the graph better.

• Because it makes the graph look better.

• Because it is easier to calculate.

What is the y-value when x = 3 in the second example?

• 3

• 9

• 6

• 12

Why did the instructor estimate the point for x = 6 in the second example?

• Because it was easier to calculate.

• Because it was already plotted.

• Because it was not necessary.

• Because it did not fit on the graph.