Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
Step-by-step explanation:
Answer:
(i)
shifted left side by 5 units
(ii)
vertically stretch by 3 units
(iii)
shifted vertically downward by 2 units
Step-by-step explanation:
we are given

we can also write as

we can factor out 9

Firstly, we will identify parent function

step-1:
We can see that there is x+5 in place of x
so, f(x) will be shifted left side by 5 units
step-2:
3 is multiplied to sqrt
so, it is vertically stretch by 3 units
step-3:
-2 is added to y-value
so, it is shifted vertically downward by 2 units
Graph:
Answer:
P(x) =x² + 3x + 2
Step-by-step explanation:
You have two zeros, so the polynomial is a quadratic.
The general form of a quadratic is
P(x) = ax² + bx + c
Sum of zeros = -b
Product of zeros = c
The polynomial becomes
P(x) = x² - (sum of zeros)x + (product of zeros)
Sum of zeros = -3 and product of zeros = 2, so
P(x) = x² + 3x + 2
The graph of P(x) (below) shows that the zeros are at -2 and -1
Sum of zeros = -2 + (-1) = -3
Product of zeros = -2 × (-1) = 2
The graph of the function LOG has no y-intercept, but has an x-intercept.
However, if we apply a symmetry toward the line y=x, then the graph
will result in an y-intercept.
Check that by drawing