Graphing Parabolas and Quadratic Functions

What is the first step in using the online graphing tool for quadratic functions?

• Select the line graphing tool

• Select the parabola graphing tool

• Select the circle graphing tool

• Select the point graphing tool

In the vertex form of a quadratic function, what does the 'H' represent?

• The x-coordinate of the vertex

• The y-intercept of the parabola

• The y-coordinate of the vertex

• The slope of the parabola

If the quadratic function is given as y = a(x - h)^2 + k, what is the y-coordinate of the vertex?

• a

• x

• h

• k

What happens to the parabola if the value of 'A' is negative?

• The parabola opens upwards

• The parabola opens downwards

• The parabola becomes a circle

• The parabola becomes a straight line

Why is it helpful to find a second point close to the vertex when graphing a parabola?

• To find the maximum value of the function

• To make the graph symmetrical

• To ensure the point is on the coordinate plane

• To make the graph look more colorful

What is the y-intercept of the quadratic function y = -3(x - 2)^2 - 3?

• 0

• -3

• -15

• 3

When finding a second point for graphing, why is it suggested to choose an x-coordinate close to the vertex?

• To avoid negative values

• To ensure the point is visible on the graph

• To find the axis of symmetry

• To make calculations easier

What is the second point used for graphing the parabola in the example?

• (2, -3)

• (1, -6)

• (0, -15)

• (3, -6)

What is the axis of symmetry in the context of graphing a parabola?

• A horizontal line through the vertex

• A vertical line through the vertex

• A diagonal line through the vertex

• A line parallel to the x-axis

How can you verify the accuracy of your graphed parabola using the online tool?

• By measuring the length of the parabola

• By checking the color of the graph

• By comparing it with a circle

• By checking the score provided by the tool