Graphing Quadratics: Vertex and Intercept Form Techniques

What does the 'a' in the vertex form of a quadratic equation indicate?

• The slope of the parabola

• Direction the parabola opens

• The x-coordinate of the vertex

• The y-coordinate of the vertex

In the vertex form of a quadratic equation, what does 'H' represent?

• The coefficient of the squared term

• The maximum value of the quadratic

• The x-coordinate of the vertex

• The y-intercept

How do you determine the axis of symmetry in vertex form?

• x = -K

• x = -H

• x = H

• x = K

What is the correct vertex form of a quadratic equation?

• y = a(x - h)^2 + k

• y = a(x + h)^2 + k

• y = a(x - k)^2 + h

• y = a(x + k)^2 + h

In intercept form, what do the values inside the parentheses represent?

• The coefficients of x

• The x-intercepts of the parabola

• The y-intercepts of the parabola

• The vertex coordinates

How do you find the axis of symmetry in intercept form?

• Subtract the x-intercepts

• Average the x-intercepts

• Divide the x-intercepts

• Multiply the x-intercepts

What does a positive 'a' value indicate about the direction of a parabola?

• It opens downwards

• It opens upwards

• It is undefined

• It is linear

How do you determine the vertex of a parabola in intercept form?

• It's the midpoint between the x-intercepts

• It's the point where the parabola crosses the y-axis

• It's the point where the parabola crosses the x-axis

• It's the highest or lowest point on the graph

What is the significance of the 'a' value in the intercept form of a quadratic equation?

• It determines the steepness of the parabola

• It determines the x-intercepts

• It determines the y-intercepts

• It determines the axis of symmetry

How can you find the y-coordinate of the vertex in intercept form?

• By plugging the x-coordinate of the vertex into the original equation

• By averaging the y-values of the x-intercepts

• By subtracting the x-intercepts

• By finding the maximum y-value on the graph