Question

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fx
Which quadratic function is represented by the table?
-2
21
-1
10
Of(x) = 3x2 + 2x - 5
Of(x) = 3x2 – 2x + 5
Of(x) = 2x2 + 3x - 5
Of(x) = 2x2 - 2x + 5
0
5
1
6
2.
13
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Answer 1

The quadratic function represented by the table is f(x) = 3x² – 2x + 5. This was determined by substituting the x-value into each option until finding the function that matches the y-values (f(x)) in the table.

Step-by-step explanation:

To determine which quadratic function is represented by the table, we need to substitute the x-values into each given quadratic equation to see which one matches the y-values (f(x)) in the table. Let's check each option step-by-step for the x-value of -1 and verify if the result matches the corresponding f(x) value from the table.

• For f(x) = 3x² + 2x - 5, when x=-1: f(-1) = 3(-1)² + 2(-1) - 5 = 3 - 2 - 5 = -4 (does not match the table, which is 10).
• For f(x) = 3x² – 2x + 5, when x=-1: f(-1) = 3(-1)² - 2(-1) + 5 = 3 + 2 + 5 = 10 (matches the table).
• For f(x) = 2x² + 3x - 5, when x=-1: f(-1) = 2(-1)² + 3(-1) - 5 = 2 - 3 - 5 = -6 (does not match the table).
• For f(x) = 2x² - 2x + 5, when x=-1: f(-1) = 2(-1)² - 2(-1) + 5 = 2 + 2 + 5 = 9 (does not match the table).

The only function that matches the given value in the table for x = -1 is f(x) = 3x² – 2x + 5.

Answer 2

The answer is the second choice