exam Maths Puzzle Numerical Ability

I am so stuck...I can find the vertex, focus, and directrix given the equation but can not do an equation from given properties.

Write the equation of the parabola in stand form

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exam Other Question

Determine the augmented matrix:p+s+c=600; 12p+10s+8c=5900; 0-s+c=175

Solve for the matrix and please show all work.
what is arithmetwists?