According to the vertex and the directrix of the given parabola, the equation is:

<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:

In which a is the leading coefficient.
The directrix is at y = k + 4a.
In this problem, the vertex is (1,4), hence:

The directrix is at y = 7, hence:


Hence, the equation is:


More can be learned about the equation of a parabola at brainly.com/question/26144898
In order to make the offer attractive such that it would earn £25,000 for Ian Vector, Paddington Games would have to sell 460 games.
The game can be sold for £25,000 or for £2,000 and then a fee of £50 for every game sold.
In order for the amount to be the same, the amount from games sold will have to equal the difference between the £25,000 and the £2,000.
Difference is:
= 25,000 - 2,000
= £23,000
The <u>number of games to be sold</u> is:
= Difference / Amount per game
= 23,000 / 50
= 460 games
In conclusion, 460 games need to be sold to make the offer attractive.
<em>Find out more at brainly.com/question/2865277.</em>
Answer:
True.
Step-by-step explanation:
Remember that the horizontal line test checks if a function is one-to-one. If a horizontal line passes through a graph more than once, the function has more than one x-value for at least one y-value.
<span>The least common multiple of x² – 8x + 12 and x² – x – 2.
by factoring:
∴ </span><span>x² – 8x + 12 = (x-2)(x-6)
</span><span>x² – x – 2 = (x-2)(x+1)
note: the factor (x-2) is common between them take it one time
∴ LCM = (x-2)(x-6)(x+1)
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