For which graph of the function f (x) = x ^ 2 + 3ax-a passes through the point A (2; 5)?
| August 17, 2021 | education
1. The graph of the function f (x) = x ^ 2 + 3ax – a will pass through the point A (2; 5) if its coordinates satisfy the equation of this function:
f (x) = x ^ 2 + 3ax – a;
A (2; 5);
x = 2;
y = 5.
2. Substitute the values for x and y and solve the equation for a:
5 = 2 ^ 2 + 3a * 2 – a;
5 = 4 + 6a – a;
5 – 4 = 5a;
5a = 1;
a = 1/5.
Answer: a = 1/5.
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