MASTER How to graph a quadratic in standard form using the formula for axis of symmetry and vertex

The video tutorial explains how to graph quadratic equations by identifying the vertex and axis of symmetry. It covers the standard form of quadratic equations and demonstrates graphing techniques using transformations. The tutorial also provides examples of graphing with different values of 'a' and discusses the impact on the graph's shape. The video concludes with a discussion on domain, range, and identifying maximum and minimum values.

What is the formula for the axis of symmetry in a quadratic equation?

• X = b / 2a

• X = a / 2b

• X = -b / 2a

• X = -a / 2b

Why is identifying the axis of symmetry important when graphing a quadratic?

• It is not important.

• It helps in finding the vertex.

• It determines the y-intercept.

• It shows the maximum value.

How do you determine if a quadratic graph opens upwards or downwards?

• By the sign of 'b'

• By the value of the vertex

• By the sign of 'c'

• By the sign of 'a'

What is the vertex of the quadratic function if the axis of symmetry is X = -3?

• (0, 3)

• (3, 0)

• (0, -3)

• (-3, 0)

When 'a' is greater than 1, what happens to the shape of the quadratic graph?

• It remains unchanged.

• It becomes narrower.

• It flips upside down.

• It becomes wider.

How does the graph change when 'a' is a fraction less than 1?

• It remains unchanged.

• It stretches horizontally.

• It compresses horizontally.

• It flips vertically.

What is the domain of any quadratic function?

• All real numbers

• Only negative numbers

• Only positive numbers

• Numbers greater than zero

How do you determine the range of a quadratic function that opens upwards?

• From negative infinity to the vertex's y-value

• From negative infinity to zero

• From the vertex's y-value to positive infinity

• From zero to positive infinity

What is the minimum value of a quadratic function?

• The x-intercept

• The y-coordinate of the vertex

• The x-coordinate of the vertex

• The y-intercept

In a quadratic function, what does the vertex represent?

• The point where the graph intersects the y-axis

• The highest or lowest point on the graph

• The midpoint of the graph

• The point where the graph intersects the x-axis