The graph of the given quadratic equation will be along the y-axis and cuts the intercepts at x (-1,3) points.
<h3>What is a graph? </h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given quadratic equation is:-
y = x² - 2x - 3
So the value of x will be (-1,3) so the quadratic curve will cut the intercepts at x(-1,3). The graph of the quadratic equation is attached with an answer.
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Option D
The slope of line described by equation y - 7 = 8(x - 14) is 8
<h3><u>Solution:</u></h3>
Given equation is y - 7 = 8(x - 14)
We have to find the slope of line
<u><em>The slope intercept form is given as:</em></u>
y = mx + c
Where "m" is the slope of line or we can say "coefficient of x is slope"
Rearranging the given equation to slope intercept form,
y - 7 = 8(x - 14)
y - 7 = 8x - 112
y = 8x - 112 + 7
y = 8x - 105
On comparing the above equation y = 8x - 105 with slope intercept form y = mx + c,
slope = 8(coefficient of "x")
Thus the slope of line is 8
<h3><u>Method 2:</u></h3>
Given equation is y - 7 = 8(x - 14)
<u><em>The point slope form of equation is:</em></u>

On comparing given equation y - 7 = 8(x - 14) with point slope form
we get,
m = 8
Thus the slope of line is 8
Answer: an = 9n + 23
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 32
d = 9
Therefore, the equation or rule for the given arithmetic sequence would be
an = 32 + (n - 1)9
Expanding the brackets, it becomes
an = 32 + 9n - 9
an = 9n + 32 - 9
an = 9n + 23