Vertex Form of Quadratic Equations

The video tutorial explains how to graph a quadratic equation in vertex form. Sabina begins by plotting the vertex of the equation y = (x - 1)^2 - 16. The tutorial highlights the importance of the vertex form, y = (x - H)^2 + K, where H and K are the coordinates of the vertex. It emphasizes that the x-value of the vertex is determined by the value of H, which is the number after the minus sign. The video also clarifies how to handle cases where the equation has a positive sign, requiring a conversion to fit the vertex form.

What is the first step Sabina takes to graph the quadratic equation?

• Plotting the vertex

• Calculating the axis of symmetry

• Plotting the y-intercept

• Finding the roots

In the vertex form of a quadratic equation, what do the variables 'h' and 'k' represent?

• The roots of the equation

• The coefficients of x

• The x and y coordinates of the vertex

• The slope and y-intercept

How do you determine the x-value of the vertex from the vertex form equation?

• By finding the constant term

• By calculating the average of the roots

• By taking the number after the minus sign

• By identifying the coefficient of x

If the equation is in the form y = (x + 1)^2 - 16, what is the x-value of the vertex?

• 1

• -1

• 0

• 2

Why must the vertex form be written with a minus sign?

• To correctly identify the vertex

• To find the y-intercept

• To simplify the equation

• To ensure the equation is linear

What is the x-value of the vertex for the equation y = (x - 1)^2 - 16?

• 1

• 0

• -1

• 2