Question

Find the axis of symmetry for this parabola: y=-5x^2-10x-13

Answer 1

Answer:

x=1

Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form,  y = a ( x − h ) 2 + k , to determine the values of  a ,  h , and  k . a= 5 h = 1 k = − 18

3. Since the value of  a  is positive, the parabola opens up.

Opens Up

4. Find the vertex  ( h , k ) . ( 1 , − 18 )

5. Find  p , the distance from the vertex to the focus.

1 /20

6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

ANSWER: x = 1