# Vertex, axis of symmetry, and x- intercepts?

Identify the vertex, axis of symmetry, and x-intercept(s).

f(x) = −1/3x^2 + 5x − 18

vertex

(x, y) = ( , )

axis of symmetry

x-intercept

(x, y) = (smaller x-value)

x-intercept

(x, y) = (larger x-value)

### 2 Answers

- 7 years agoBest Answer
The vertex is (7.5,.75)

The axis of symmetry is 7.5

The x-intercepts are (6,0) and (9,0)

- buckelewLv 43 years ago
Vertex would be got here upon by the formula x=-b/2a for the final quadratic equation of the style ax^2+bx+c. consequently vertex=-2/(2*a million)=-a million And for the y coordinate, we take f(-a million)=-a million. The x intercept we are able to discover by factoring; x^2+2x = x(x+2); so x = 0, -2. The function is a polynomial, consequently it somewhat is non-supply up on the set of actual numbers and is defined for all x. area = -infinity, infinity. the variety is the set of all quantity such that y is greater than or equivalent to -a million.