Vertex Form and Completing the Square Quiz

What is the first step in converting an equation from standard form to vertex form?

• Multiply by a coefficient

• Factor the equation

• Complete the square

• Add a constant to both sides

When completing the square, what must be done if a number is added inside the parentheses?

• Add the same number to the other side

• Subtract the same number from the other side

• Multiply the number by the coefficient

• Divide the number by the coefficient

How do you handle a coefficient on the x-squared term when completing the square?

• Multiply it by the constant term

• Add it to the constant term

• Factor it out

• Ignore the coefficient

What is the axis of symmetry in a quadratic function?

• A line parallel to the y-axis

• A line that passes through the vertex

• A line parallel to the x-axis

• A line that passes through the origin

Why does the graph open downwards in the given example?

• The coefficient of x is positive

• The coefficient of x is negative

• The coefficient of x-squared is negative

• The coefficient of x-squared is positive

What information is needed to write the equation of a graphed function in vertex form?

• The vertex and one point

• The x-intercepts

• The slope and y-intercept

• Two points on the graph

In the example, what is the value of 'a' when solving for the vertex form equation?

• 3

• 6

• 12

• 9

Why is it important to use the vertex in the vertex form equation?

• It determines the slope

• It provides a specific point for the graph

• It simplifies the equation

• It affects the y-intercept

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

• y = ax^2 - bx + c

• y = a(x + h)^2 - k

• y = a(x - h)^2 + k

• y = ax^2 + bx + c

What is the role of 'h' and 'k' in the vertex form equation?

• They are the coordinates of the vertex

• They determine the direction of the parabola

• They represent the slope and y-intercept

• They are the coefficients of x and y