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.

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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.

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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)

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