Which of the following are the most likely factors of the function graphed above?

Mathematics

1 answer:

alexandr402 [8]3 years ago

3 0

Answer: OPTION C.

Step-by-step explanation:

You can observe in the graph that the solutions of the Quadratic function are:

$x=-5\ or\ x=1$

By definition, the parabola intersects the x-axis when the value of "y" is zero, applying the Addition property of Equality:

$x+5=-5+5\\\\x+5=0$

Applying the Subtraction property of Equality:

$x-1=1-1\\\\x-1=0$

The Zero Product property states that:

If $a*b = 0$ then $a = 0\ or \ b = 0$

Then, you know that:

$(x-1)(x+5)=0$

Therefore the most likely factors of the function graphed above are:

$(x-1)(x+5)$

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The number 360 is increased by 25%. The result is then decreased by 50%. What is the final number?

Vladimir [108]

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3 years ago

Which graph corresponds with the equation <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B2%20%7D%20%28x%2B1%29%5E

JulijaS [17]

$\qquad\qquad\huge\underline{{\sf Answer}}$

The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.

And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.

From the above information, we can easily conclude that the Correct representation is done in graph 4