Quadratic Equations Assignment?

1. When the quadratic equation y = (x − 5)(2x + 3) is written in standard form, what is the value of the coefficient "b"?

A. 7

B. −7

C. 2

D. −15

2. Identify which equation is a quadratic equation.

A. y = −5x − 3

B. y = −4x(x + 10) + 34

C. y + x2 = (x − 4)(x + 3)

D. y − 2 = (x − 2)(x2 + 1)

3. Determine whether the graph of y = −2x2 − 3x + 10 opens up or down and whether it has a maximum or minimum point.

A. Down and Maximum

B. Down and Minimum

C. Up and Maximum

D. Up and Minimum

4. What is the vertex for the graph of y = −3x2 + 18x − 13?

A. (−3, −40)

B. (−3, −94)

C. (3, 23)

D. (3, 14)

5. The graph of which equation is shown below?

A. y = −x2 + 2x − 3

B. y = −x2 − 2x − 3

C. y = x2 + 2x − 3

D. y = x2 − 2x − 3

6.What are the solutions of x2 + 8x − 20 = 0?

A. x = 2, x = 10

B. x = −2, x = −10

C. x = 2, x = −10

D. x = −2, x = 10

7. What are the x-intercept(s) of the graph of y − x2 = −8x − 9?

A. (−1, 0) and (9, 0)

B. (1, 0) and (−9, 0)

C. (−1, 0) and (−9, 0)

D. (1, 0) and (9, 0)

8.What are the solutions of 4x2 − 4x − 3 = 0?

A. x = −1/2, x =

B. x = 1/2 , x = −

C. x = 1/4, x = −3

D. x = −1/4, x = 3

9.Solve 3x2 = 12x.

A. x = 0, x = 4

B. x = 0, x = −4

C. x = 3, x = 4

D. x = 3, x = −4

10. Part 1: Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit.x2 − 25 = 0 and x2 = 2x + 15

Part 2: Using complete sentences, compare and contrast the graphs of y = x2 − 25 and y + x2 = 2x + 15.

11.

Part 1: Given y = x2 − 14x + 24 determine the following. Use complete sentences and show all work to receive full credit.

Does the graph open up or down? How do you know?

Explain whether the graph has a maximum or minimum point.

Find the vertex and x-intercepts of the graph.

Part 2: Create your own unique quadratic equation in the form y = ax2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x2 − 14x + 24. Determine the following. Use complete sentences and show all work to receive full credit.

Explain whether the graph has a maximum or minimum point.

Find the vertex and x-intercepts of the graph.

NOTE: If you're just going to answer telling me to do my own work please don't waste your breath, I just need help on this section so the real answers i get I'll appreciate so thank you!