Can I get some help..please?
1 answer:
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Answer:
- Parent Function:
- Horizontal shift: right 3 units
- Vertical shift: up 3 units
- Reflection about the x-axis: none
- Vertical strech: streched
Step-by-step explanation:
assume that is
and
is
The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.
factor a 1 out of the absolute value to make the coefficient of x equal to 1
factor a 2 out of the absolute value to make the coefficient of x equal to 1
find a, h and k for
the horizontal shift depends on the value of h when , the horizontal shift is described as:
- the graph is shifted to the left h units
- the graph is shifted to the right h units
the vertical shift depends on the value of k
A = b = 12 cm
<span>Pythagorean theorem
</span>
formula
<-- Answer
<span>Pythagorean theorem
</span>
Given:
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).
To find:
The corresponding quadratic expression.
Solution:
If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.
A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.
The function is defined as:
...(i)
Where, a is a constant.
The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.
Substituting x=4 and P(x)=8 in (i).
Divide both sides by -4.
Putting in (i), we get
Therefore, the correct option is B.