SOLUTION: For the quadratic function f(x) = x^2 + 2x -8 Find: a. THe axis of symmetry and the vertex. b. THe x-intercepts and y intercepts. c. The domain and range. d. Does the f

Question 181398: For the quadratic function f(x) = x^2 + 2x -8 Find:
a. THe axis of symmetry and the vertex.
b. THe x-intercepts and y intercepts.
c. The domain and range.
d. Does the function have a maximum or minimum value.

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
For the quadratic function f(x) = x^2 + 2x -8 Find:
a. THe axis of symmetry and the vertex.
b. THe x-intercepts and y intercepts.
c. The domain and range.
d. Does the function have a maximum or minimum value.
:
first lets complete the square
:

:
vertex is at (-1,-9)
axis of symmetry is x=-1
:
y intercept is found by setting x to zero--->y=0+0-8
so y intercept is -8: (0,-8)
:
x intercept is found by setting y to zero--->

:
x intercepts are 2 and -4: (2,0) and (-4,0)
:
domain is all real numbers: range is all real
:
function has a minimum value:
:

RELATED QUESTIONS
For the quadratic function : f(x) = 2x^2 - 4x -6, find: a. The x intercepts and the y... (answered by solver91311)

Find the vertex axis of symmetry (XS) max or min function value X-intercepts Y intercept... (answered by stanbon)

Y=1/2x^2+5x+1 find the vertex, x intercepts and axis of symmetry (answered by Boreal)

Find the exact value for f(x)=3(x+4)^2-30. vertex= ,axis of symmetry=... (answered by RAY100)

graph the function using its vertex, axis of symmetry, and intercepts... (answered by josgarithmetic)

What are the vertex, the axis of symmetry, the x any y intercepts and the domain and... (answered by lwsshak3)

1. Given the following quadratic equation, find a. the vertex b. the axis of symmetry (answered by solver91311)

Graph the quadratic function. Indicate the vertex coordinates, the axis of symmetry line, (answered by ewatrrr)

Sketch a graph of the quadratic function. f(x) = x^2 - 4x Give the vertex, axis of... (answered by josgarithmetic)