Find the Minimum or Maximum Value of a Parabola Given an Equation

• Standard Form

• Vertex Form

• Intercept Form

Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.

Tags

Quadratic Extreme Value from Equation

Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.

Tags

Quadratic Extreme Value from Equation

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 

• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum

• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

• The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

Find the max or min value of y=2x²-9.

• 9

• -9

• 0

• 2

Which is the vertex of y = x²+ 16x + 71 ?

• V(-8, 7)

• V(-8, 3)

• V(8, 10)

• V(16, -2)

What is the vertex of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

Given the equation for this parabola:
 y = -(x - 4)²- 3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Give the vertex of the equation.

• (1, -6)

• (-1, -6)

• (-6, 1)

• (1, 6)

Is this a max or min?

• max

• min

• cannot be determined