book Maths Puzzle Numerical Ability

For my next test, I will be given an equation and asked to explain how the graph of the function differs from its parent function. I must use terms such as vertical and horizontal

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x -2 -1 0 1 2
y .0625 .25 1 4 16

Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice,
2x^2+7x-4=0