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Compare Quantity A and Quantity B.

Based on the quadratic $f(x)=2{ x }^{ 2 }+8x-1$:

Quantity A: the $y$-value of the vertex of $f(x)$

Quantity B: the $y$-intercept of $f(x)$

Which of the following statements is true?

Quantity A is greater.

Quantity B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.