Exploring Vertex Form in Quadratic Functions

What is the general form of the vertex form of a quadratic equation?

• y = a(x + h)^2 + k

• y = a(x - h)^2 + k

• y = a(x + h)^2 - k

• y = a(x - h)^2 - k

In the vertex form y = a(x - h)^2 + k, what does the 'h' value represent?

• The axis of symmetry

• The x-coordinate of the vertex

• The coefficient of x

• The y-coordinate of the vertex

If the vertex form of a quadratic equation is y = 2(x + 3)^2 - 5, what is the vertex?

• (-3, -5)

• (3, -5)

• (-3, 5)

• (3, 5)

For the equation y = -3(x - 4)^2 + 2, what is the axis of symmetry?

• x = -4

• y = -4

• y = 4

• x = 4

If the vertex form of a quadratic equation is y = (x - 2)^2, what is the vertex?

• (0, -2)

• (2, 0)

• (-2, 0)

• (0, 2)

In the equation y = -2(x + 1)^2 + 3, what is the y-coordinate of the vertex?

• 2

• 1

• 3

• -1

When graphing a quadratic equation in vertex form, what is the first step?

• Calculate the roots

• Determine the leading coefficient

• Find the vertex and axis of symmetry

• Find the y-intercept

Using the Desmos calculator, what is the next step after inputting the equation?

• Find the roots

• Calculate the domain

• Press the gearbox button

• Sketch the graph

What is the domain of a quadratic function in vertex form?

• All positive numbers

• All real numbers

• All integers

• All negative numbers

In vertex form, what does the k value represent?

• The y-coordinate of the vertex

• The leading coefficient

• The x-coordinate of the vertex

• The axis of symmetry