Quadratic Function Vertex Quiz

What is the formula to find the vertex of a quadratic function?

• (b/2a, f(b/2a))

• (2a/b, f(2a/b))

• (-b/2a, f(-b/2a))

• (a+b/2, f(a+b/2))

Given the quadratic function f(x) = 2x^2 - 8x + 5, what is the vertex?

If the quadratic function is graphed, where would you find the vertex on the graph?

• At the x-intercept

• On the axis of symmetry

• At the maximum or minimum point

• At the y-intercept

Explain how to identify the vertex of a parabola from its equation.

• Use the formula x = -b/2a to find the x-coordinate of the vertex, then substitute the x-coordinate into the original equation to find the y-coordinate.

• Substitute the x-coordinate into the original equation to find the x-coordinate of the vertex

• The vertex of a parabola cannot be identified from its equation

• Use the formula x = -b/2a to find the y-coordinate of the vertex

For the quadratic function f(x) = -3x^2 + 12x - 9, the coordinates of the vertex are _____.

What is the axis of symmetry in a quadratic function?

• x = -b/2a

• x = b/2a

• x = a/2b

• x = -a/2b

How can you determine if a parabola opens upwards or downwards?

• If a is positive, the parabola opens upwards. If a is negative, it opens downwards.

• If a is positive, the parabola opens downwards. If a is negative, it opens upwards.

• If b is positive, the parabola opens upwards. If b is negative, it opens downwards.

• If b is positive, the parabola opens downwards. If b is negative, it opens upwards.

What does the 'c' represent in the standard form of a quadratic equation?

• The y-intercept

• The x-intercept

• The vertex

• The axis of symmetry

A ball is thrown upwards from a height of 5 meters with an initial velocity of 20 m/s. The height of the ball is given by the equation h = -5t^2 + 20t + 5, where h is the height in meters and t is the time in seconds. What is the maximum height the ball will reach?

• 20 meters

• 25 meters

• 30 meters

• 35 meters

A quadratic function models the trajectory of a projectile. What does the vertex of this function represent in the real-world scenario?

• The maximum height reached by the projectile

• The initial velocity of the projectile

• The time at which the projectile was launched

• The distance covered by the projectile