We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is
. Since function is reflected about x-axis, so our function will be
.
Let us find the value of b.




Upon substituting our given values in general cosine function, we will get:

Therefore, our required function would be
.
Answer: -8
Step-by-step explanation:
Put -8 in place of all of the x variables when I solved the top was equal to 40 and the denominator was equal to -5 and 40/-5 is equal to -8
Answer:
300
Step-by-step explanation:
A: 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25 +26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63+64+65+66+ 67+68+69+70+71+72+73+74+75+76+77+78+79+80+81+82+83+84+85+86+87+88+89+90+91+92+93+94+95+96+97+98+99+100
A=5,050
B: 4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25 +26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63+64+65+66+ 67+68+69+70+71+72+73+74+75+76+77+78+79+80+81+82+83+84+85+86+87+88+89+90+91+92+93+94+95+96+97+98+99+100+101+102+103
B=5,350
B-A
=5,350-5,050
=300
Answer:
289/4
Step-by-step explanation:
x² + 17x + 12 = 0
x² + 17x = -12
Take half of the second coefficient, square it, then add the result to both sides.
(17/2)² = 289/4
x² + 17x + 289/4 = -12 + 289/4
(x + 17/2)² = 241/4
Hello,
(x+1)²+y²/1=1
center(-1,0) a=2,b=1
Answer B