Mathematics Quiz

for f(x) = 2x² + 8x - 3. Find the y-intercept​ ​ (a)   , the equation of the axis of symmetry​ ​ (b)   , and the x-coordinate of the vertex ​ (c)   . ​

• (1,2)
• -4/2(3)
• -1
• (0,-3)
• -8/2(2)
• -2

Then graph the function ​for f(x) = 2x² + 8x - 3 by making a table of values.​

For which equation is the axis of symmetry x = 5?

• A. f(x) = x² - 5x + 3

• B. f(x) = x² - 10x + 7

• C. f(x) = x² + 10x - 3

• D. f(x) = x² + 5x + 2

Determine whether f(x) = 5 - x² + 2x has a maximum or a minimum value. Then find this maximum or minimum value and state the domain and range of the function.

Use a quadratic equation to find two real numbers that satisfy each situation, or show that no such numbers exist. Their sum is 15, and their product is 36.

Using the graph of the function f(x) = x² + 6x - 7, what are the solutions to the equation x² + 6x - 7 = 0?

• A. 1, 6

• B. 1, -6

• C. -1, 7

• D. 1, -7

Simplify i³⁷

Simplify (15 - 3i) - (4 - 12i)