Answer: y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2
Step-by-step explanation:
vertex form is y=a(x-h)^2 + k
here we can see the vertex is (3,0) which is (x,y). Or (h,k) in this case.
so to plug that into vertex form, we now have y=a(x-3)^2 + 0. or just y=a(x-3)^2.
now we need to find "a" which is the leading coefficient. to do that we can plug in the (6,-6) for the x and y parts of the above equation. so we'd have
-6=a(6-3)^2. which goes to -6=a(2)^2 which is -6=4a. divide each side by 4 to get a = -2/3. plug this in for a
the final equation would be y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2
Answer:
Step-by-step explanation:
1) (-13)* .......(-13) for 35 times = (-13)³⁵
2) (2/3) * ...... * (2/3) for 4 times = (2/3)⁴
3)(-3.1)* ......(-3.1) for 4 times = (-3.1)⁴ = 92.2531
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (5, - 2) and (x₂, y₂ ) = (3, 6)
m = 
= 
= - 4
Using (a, b) = (5, - 2), then
y + 2 = - 4(x - 5) ← third on list
-----------------------------------------------
Using (a, b) = (3, 6), then
y - 6 = -4(x - 3)
Answer:
- A. f(x) = (x - √2)(x + √3)
Step-by-step explanation:
Leading coefficient is 1, multiplicity is 1, roots are √2 and -√3. It means the function is the product of two binomials.
<u>The function with the roots of a and b is:</u>
<u>Substitute and and b:</u>
- f(x) = (x - √2)(x - (-√3)) ⇒
- f(x) = (x - √2)(x + √3)
Correct choice is A
The only type of symmetry is
vertical line of symmetry
