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For any real number k, the graph of y = 7x^2 + kx - 8k + 3x^2 - 4x + 2 passes through a fixed point (a,b) Find (a,b).

 May 14, 2022
 #1
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We can simplify the equation to: \(y = 10x^2 + kx- 4x - 8k + 2 \)

 

Subsituting in \(k = 1 \) gives: \(y = 10x^2 - 3x - 6 \)

 

Subsituting in \(k = 2 \) gives: \(y = 10x^2 - 2x - 14\)

 

Now, we have to solve this system for x and y, which are a and b respectively. 

 

Can you take it from here?

 May 14, 2022

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