Exploring Quadratic Functions Problem Solving

What does the function g(x) equal to?

• f(x) / B

• f(x) * B

• f(x) - B

• f(x) + B

How many solutions does the original function f(x) have?

• 1

• 4

• 3

• 2

What are the x-values of the solutions for f(x)?

• -1 and 3

• 0 and 2

• -2 and 2

• 1 and -3

Where is the vertex of the original function located?

• x = 0, y = -1

• x = 1, y = -2

• x = -1, y = 2

• x = 2, y = -1

To have only one solution for g(x), where must the vertex move?

• To the origin

• To the y-axis

• To the right by 2 units

• To the x-axis

How much do we need to adjust the y-value of the vertex to transform f(x) to g(x)?

• Increase by 1

• Decrease by 2

• Decrease by 1

• Increase by 2

What is the new location of the vertex after the transformation?

• x = 1, y = 2

• x = -1, y = 0

• x = 0, y = 1

• x = 1, y = 0

What is the value of B that transforms f(x) to g(x) with exactly one solution?

• B = -2

• B = 2

• B = 1

• B = -1

How many times does the transformed function g(x) cross the x-axis?

• Thrice

• Once

• Never

• Twice

What is the primary goal of transforming f(x) to g(x)?

• To have it cross the x-axis once

• To make it invertible

• To shift it to the left

• To increase its degree