Graphing Quadratics from Intercept Form

What shape does a quadratic function typically form on a graph?

• Rectangle

• Circle

• Parabola

• Triangle

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

• y-intercept

• x-intercepts

• Vertex position

• Direction of the parabola opening

If a quadratic has no coefficient in front of the parentheses, what is the value of 'a'?

• Undefined

• 0

• 1

• -1

What does it mean if the parabola opens upwards?

• The coefficient 'a' is positive

• The coefficient 'a' is negative

• The x-intercepts are positive

• The vertex is at the highest point

What are the coordinates of the x-intercepts given p = 1 and q = -3?

• (1,0) and (-3,0)

• (0,1) and (0,-3)

• (1,1) and (-3,-3)

• (1,-3) and (0,0)

How is the vertex of a parabola found using its x-intercepts?

• By finding the maximum y-value

• By subtracting the smallest intercept from the largest

• By averaging the x-intercepts

• By multiplying the intercepts

What additional point is necessary to graph a quadratic besides the intercepts and vertex?

• The highest point on the graph

• The y-intercept

• The lowest point on the graph

• Any point on the x-axis

Where is the axis of symmetry in a parabola located?

• At the y-intercept

• At the highest x-value

• Halfway between the x-intercepts

• At the vertex

What is the standard form of a quadratic equation?

• x^2 + y^2 = r^2

• y = mx + b

• a(x-p)(x-q) = 0

• ax^2 + bx + c = 0

How do you calculate the y-intercept of a quadratic function?

• Multiply the coefficients

• Average the x-intercepts

• Set y to zero and solve for x

• Set x to zero and solve for y