exam Maths Puzzle Numerical Ability

let F(x)=(x^2)-2x+3. find the axis of symmetry, vertex, and the x and y intercepts if they exist. sketch the graph of f.

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exam Other Question

Write an equation for the hyperbola that satisfies each set of conditions.

vertices (9,-3) and (-5,-3), foci at (2(+or-)the square root of 53,-3)
remove parentheses and simplify?
8y-(2y-5x)