Answer:
okay
vertex:(2,4)
domain: (-∞,∞)
range: [4,∞)
Step-by-step explanation:
to find the vertex from the equation
f(x) = (x − 2)² + 4
an easy way is to use the numbers given. so the vertex of this equation is x= 2 (because it is always the opposite of itself in the equation) and y= 4 because the point is going up 4.
to find domain is easy. domain is on the x-axis so the equation is a parabola so it has to points at the same direction. therefore it has a domain that goes from negative infinity to positive infinity.
lastly to find range, which is on the y-axis is to find from where the parabola starts and is pointing, either up or down. in this equation the vertex, which is also the starting point starts at 4 and continues to go on- to infinity.
ps i hope this helps.
Answer:
a)smaller b)equivalent
Step-by-step explanation:
greater because the median height of the indoor plant is 1 cm whereas the full sunlight plant's is 2.5 cm
equivalent because the ratio of growth is limited due to natural circumstance's (standardization)
(x - 2)² + 1 = 0
(x - 2)(x - 2) + 1 = 0
x(x - 2) - 2(x - 2) + 1 = 0
x(x) - x(2) - 2(x) + 2(2) + 1 = 0
x² - 2x - 2x + 4 + 1 = 0
x² - 4x + 4 + 1 = 0
x² - 4x + 5 = 0
x = <u>-(-4) ± √((-4)² - 4(1)(5))</u>
2(1)
x = <u>4 ± √(16 - 20)</u>
2
x = <u>4 ± √(-4)
</u> 2<u>
</u> x = <u>4 ± 2i</u><u>
</u> 2<u>
</u> x = 2 ± i
x = 2 + i U x = 2 - i
The solution set is {2 ± i}.
<u />
The answer is 13/4.
i use the formula y=mx+b and i plug in the # and then i added 6. and so on
