Graphing Quadratics and Factoring Techniques

What is the vertex form of a quadratic equation?

• y = ax^2 + bx + c

• y = mx + b

• y = a(x - m)(x - n)

• y = a(x - h)^2 + k

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

• The y-intercept

• The slope of the parabola

• The x-coordinate of the vertex

• The y-coordinate of the vertex

How do you determine the direction in which a parabola opens in vertex form?

• By the sign of 'a'

• By the y-intercept

• By the value of 'h'

• By the value of 'k'

In a word problem involving vertex form, what does the vertex typically represent?

• The x-intercept

• The slope

• The y-intercept

• The maximum or minimum value

What is the first step in solving a quadratic equation by factoring?

• Finding the y-intercept

• Graphing the equation

• Setting the equation to zero

• Finding the vertex

When factoring the quadratic equation x^2 + 16x + 64, what are the factors?

• (x + 4)(x + 4)

• (x - 8)(x - 8)

• (x + 8)(x + 8)

• (x - 4)(x - 4)

What does the 'slide and divide' method help with in factoring?

• Finding the vertex

• Simplifying the equation

• Factoring trinomials

• Finding the GCF

How does the number outside the absolute value bars affect the graph?

• Changes the vertex

• Shifts the graph up or down

• Shifts the graph left or right

• Changes the slope

In a piecewise function, what does a closed circle on the graph indicate?

• The function is undefined at that point

• The function includes that point

• The function excludes that point

• The function has a maximum at that point

What does a negative sign in front of the absolute value function indicate?

• The graph opens downwards

• The graph shifts down

• The graph shifts up

• The graph opens upwards