Answer:
First figure as shown below is the correct option.
Step-by-step explanation:
We are given that,
The pre-image is rotated in the direction of the arrow to form an image.
It is required to find the image formed.
Since, the arrow is rotating counter-clockwise, we get that,
The star in the pre-image will rotate upwards towards the left.
So, according to the options, we have,
<em>The first image where the star is at the highest height will be the image after rotating the pre-image.</em>
Hence, the first figure as shown below is the correct option.
Answer:
Step-by-step explanation:
<u>Equation of a Polynomial</u>
Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:
Where a is the leading coefficient.
We know the three roots of the polynomial -6, -3, and 1, thus:
Since the y-intercept of the polynomial is y=90 when x=0:
90=a(0+6)(0+3)(0-1)
90=a(6)(3)(-1)=-18a
Thus
a = 90/(-18) = -5
The polynomial is:
We must write it in standard form, so we have to multiply all of the factors as follows: