To reflect across the x axis y=-f(x) the y coordinate's sign is changed and the x coordinates stay the same.
Answer:
Step-by-step explanation:
The first graph (the parabola opening down) represents an even function, since this graph is symmetric with respect to the y-axis.
Answer:
64
Step-by-step explanation:
SInce the students at the door had to pay twice as much as the students who payed in advance, you would do 32*2=64
1) given x^4 + 95x^2 - 500
2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )
3) find two numbers that add up 95 and their product is - 500:
=> 100*(-5) = - 500 and 100 - 5 = 95
=> (x^2 + 100)(x^2 - 5)
4) factor x^2 - 5 = (x + √5) (x - √5)
5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)
6) find the solutions:
x^2 + 100 = 0 => not possible
x + √5 = 0 => x = - √5
x - √5 = 0 => x = √5
Answer: x = √5 and x = - √5
