Find the distance between the pair of points.
2 answers:
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Given:
A student says that the graph of the equation is the same as the graph of
, only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
Equation of after transformation is
Now,
...(i)
The translation is defined as
...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
Therefore, the graph of translated left by 8 units. Hence, the student is wrong.
Answer:
Step-by-step explanation:
As x = 0 is a zero, (x + 0) is a factor.
Dividing the equation by (x + 0) leaves x² - 9x + 20.
Factoring this polynomial
x² - 9x + 20 = (x - 4)(x - 5)
x - 4 = 0
x = 4
x - 5 = 0
x = 5
The zeros are at 0, 4, and 5.
Which can be verified by using a plotting calculator.
