In a game of poker 5 cards are drawn from a pack of 52 well shuffled cards. find the probability that at least one ace is drawn

We know that there are 4 possible aces to draw in a deck of cards, so that becomes the numerator. We also know that there are 52 total cards to choose from, so that becomes the denominator. We then simplify the fraction to get a probability of 1/13

we know that

The vertex form of a quadratic equation is equal to

where

(h,k) is the vertex of the parabola

Let's analyze each case to determine the solution

case a)

in this problem

using a graph tool

see the attached figure N

case b)

in this problem

using a graph tool

see the attached figure N

case c)

in this problem

using a graph tool

see the attached figure N

case d)

in this problem

using a graph tool

see the attached figure N

therefore

the answer is

The equation that has a graph that is a parabola with a vertex at is

case a)