Solve |x| > -9. 1. no solution 2. all reals 3. {x | x < -9 or x > 9}
2 answers:
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Answer:
C
Step-by-step explanation:
Rather than picking, let's try to construct one from the description.
reflected over the x axis means -
the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.
To move left and right you use where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.
To move up and down we use Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2
So now we put them all together And if you look, C matches that exactly.
Ok... so this question can be solved by using simultaneous equations.
Use the general from of a parabola
you know the value of c, the y-intercept... y = -4
which means the equation is
now use the other 2 points to get 2 equations in 2 unknowns
(-2, -20) just substitute
this becomes
now the other equation using (4, -20)
The simplified form is
Use the general from of a parabola
you know the value of c, the y-intercept... y = -4
which means the equation is
now use the other 2 points to get 2 equations in 2 unknowns
(-2, -20) just substitute
this becomes
now the other equation using (4, -20)
The simplified form is