exam Maths Puzzle Numerical Ability

Find the vertex, and the x and y intercepts by completing the following:

f(x) = -x^2 + 6x - 8

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exam Other Question

Can you please help me with this question?I get lost.

((( 1/3(x-9)=-6 )))
Identify the vertex , axis of symmetry, and direction of opening for
y=2(x+3)^2-5.

Thanks