<span>D: a line passing through the points (2, –6) and (4, –16)</span>
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:







Two equal fractions would be 4/6 and 6/9.
C is the answer.
in the original function, when x=0, y=-1
in the new function, to make y=-1, x+3=0, x=-3. From the original 0 to -3 is a shift of 3 units to the left.
we are given
x-intercept is 3
so,
a=3
y-intercept is 2
b=2
now, we can intercept formula of line

now, we can plug
a=3 and b=2

now, we will get rid of denominators
so, we can multiply both sides by 6


we can also write it as

so, option-D..................Answer