Answer:
23 1/4
Step-by-step explanation:
Answer:
The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.
Step-by-step explanation:
The given graph is a transformed logarithm function.
The graph is obtained by shifting the parent function three units left.
The vertical asymptote is now
The x-intercept is where the graph intersect the x-axis, which is x=-2
Therefore the last option is correct.
Decreased by 25%
find 25% of 12 and decrease 12 by it
percent means parts out of 100
25%=25/100=1/4
'of' means multiply
25% of 12=1/4 times 12=3
decrease 12 by 3
12-3=9
answer is 9
Answer:
Step-by-step explanation:
n²+2n+1 = (n+1)(n+1)
n²-8n-9 = (n+1)(n-9)
the least common denominator for these two rational expressions is :
(n+1)(n-9)
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
