Quadratic Functions Math Practice

In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c ?

• -2

• 0

• 1

• 2

Tags

CCSS.8.EE.C.7A

After First Essential Understanding: Why does this system have one solution?

• It has a horizontal line.

• The line and curve intersect at one point.

• The quadratic function faces upwards.

• Every math problem has only one solution.

Tags

CCSS.HSA.REI.C.7

Choose the correct order of the vertices below: y = ax² , y = ax²+ c, y = ax² + bx + c

• (0, 0), (0, 0), (0, 0)

• (a, x), (a, c), (b, c)

• (0, 0), (0, c), (-b/2a, y value after plugging in x = -b/2a)

• (a, 0), (0, c), (a, b)

Practice 1:

• (-2, 5)

• (2, 1)

• (0, 1)

• (0, 5)

Tags

CCSS.HSA.REI.C.7

After Problem 2: Why might it have been mathematically easier to subtract the equations with Pool A minus Pool B?

• The negative on the x² would turn to a positive, so we wouldn't have to factor out a negative.

• The smaller numbers would be on bottom.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Practice 6: Solve.

• (3, 4), (1, 5)

• (-1, -5), (0, 0)

• (-4, -41), (1/3, 7/3)

Tags

CCSS.HSA.REI.C.7

Doug has 8 square pieces of wood. Each piece of wood has a side length of c centimeters. The total area of all 8 pieces of wood is 200 square centimeters. Create a quadratic equation Doug can use to find the side length of each piece of wood.

Mathematical Equivalence

ON

Tags

CCSS.HSA.CED.A.1