Answer:
The equation in vertex form is:
Step-by-step explanation:
Recall that the formula of a parabola with vertex at 
is given by the equation in vertex form:
where the parameter 
can be specified by an extra information on any other point apart from the vertex, that parabola goes through.
In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:
we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter 
:
The, the final form of the parabola's equation in vertex form is:
Answer:
3,9
Step-by-step explanation:
Factors of 36 = 1,2,3,4,6,9,12,18,36
Those factors which are odd = 1,3,9
Odd Factors which are multiple of 3 = 3,9
So, these are the two numbers Margret might be thinking of.
Answer:
The correct option is 1.
Step-by-step explanation:
The given function is
It is an absolute function. The transformation of function is defined as
Where, a is horizontal shift and b is vertical shift.
If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.
If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.
If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.
The required function is
Therefore the correct option is 1.
Answer:
Square
Step-by-step explanation:
Answer:
Measure of angle XCY is 60°.
Step-by-step explanation:
"Measure of all inscribed angles by the same arc in one segment of the circle are equal"
Using this property in the given circle,
m∠XWY = m∠XCY
60x = 61x - 1
61x - 60x = 1
x = 1
By substituting the value of 'x' in the measure of ∠XCY,
m∠XCY = 61x - 1
= 61(1) - 1
= 61 - 1
= 60°
Therefore, measure of angle XCY is 60°.
