SOLUTION: For each quadratic function (a) find the vertex and the axis of symmetry and (b) graph the function. g(x)=x^2+5x+4. a=1, b=5 and c=4 I started doing the problem and here is wh

Question 280228: For each quadratic function (a) find the vertex and the axis of symmetry and (b) graph the function.
g(x)=x^2+5x+4.
a=1, b=5 and c=4
I started doing the problem and here is what I have so far.
x = -b/2*a
x= -5/2*1 = -5/2 or -2.5
g(1)= 1*(1)^2 + 5(1) + 4
g(1)=1 + 5 +4
So the vertex is (-2.5, 10).
Now I am confuse on how to get the axis of symmetry.
g(1)= 10
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For each quadratic function (a) find the vertex and the axis of symmetry and (b) graph the function.
g(x)=x^2+5x+4.
a=1, b=5 and c=4
I started doing the problem and here is what I have so far.
x = -b/2*a
x= -5/2*1 = -5/2 or -2.5
That is the x-coordinate of the vertex.
Now find the y-coordinate:
g(-2.5)= 1*(-2.5)^2 + 5(-2.5) + 4
g(-2.5)= -2.25
So the vertex is (-2.5,-2.25).
---------------
The axis of symmetry passes thru the vertex.
The parabola opens up so the axis is a vertical line.
So, the equation of the axis must be x=-2.5
---------------------------
Let's see:

===============================================
Cheers,
Stan H.
RELATED QUESTIONS
For each quadratic function, (a) find the vertex and the axis of symmetry and (b) graph... (answered by josgarithmetic)

For each quadratic function, (a) find the vertex, the axis of symmetry, and the maximum... (answered by josgarithmetic)

find the vertex and axis of symmetry and graph the function... (answered by josmiceli)

List the vertex , slope, axis of symmetry, and graph the function. 18.y = -(x-4)+4 a)... (answered by ikleyn)

find the equation of the axis of symmetry and the coordinates of the vertex of the graph... (answered by mathsteacher)

I need help solving the quadratic function,For Each Funtion:(a) determine whether the... (answered by josmiceli)

For the given function, (a) determine whether the graph opens upward or downward, (b)... (answered by stanbon)

For the given function, (a) determine whether the graph opens upward or downward, (b)... (answered by lwsshak3)

Write the equation in standard or vertex form for each quadratic function below. A)... (answered by stanbon)