Graphing Quadratics in Standard Form

What determines if a parabola opens upwards or downwards?

• The coefficient of x^3

• The coefficient of x^2

• The constant term

• The coefficient of x

What is the formula used to find the axis of symmetry in a quadratic equation?

• x = a/(2b)

• x = b/(2a)

• x = -a/(2b)

• x = -b/(2a)

After finding the axis of symmetry, what is the next step in graphing a quadratic?

• Calculate the discriminant

• Identify the roots (these are the zeros or solutions)

• Determine the maximum or minimum value

• Substitute x in the equation to find y to plot the vertex

How do you find the y-coordinate of the vertex of a parabola?

• Substitute the x-value of the axis of symmetry into the equation

• Substitute x into the quadratic formula

• Substitute x into the vertex formula

• Use the discriminant

What is used to ensure the graph is symmetrical about the vertex?

• The leading coefficient

• The discriminant

• The constant term

• The axis of symmetry

How many points are typically plotted to ensure accuracy before using symmetry in graphing?

• Three points

• Two points

• Five points

• Four points

What does a positive coefficient of x^2 indicate about the parabola?

• It opens downwards

• It is undefined

• It has no real roots

• It opens upwards

How do you determine if a quadratic function has a maximum or minimum value?

• By checking the coefficient of x^2

• By finding the vertex

• By calculating the discriminant

• By plotting points

What is the significance of the vertex in a parabola that opens upwards?

• It represents the minimum value

• It determines the roots

• It represents the maximum value

• It indicates the axis of symmetry

How is the axis of symmetry calculated in a quadratic equation?

• x = b/(2a)

• x = -b/(2a)

• x = a/(2b)

• x = -a/(2b)