SOLUTION: 1.Express the Quadratic Function in Standard Form. 2.Find it's Vertex and its x- and y- intercept(s). f(x)=2x^2+4x+3

Algebra ->  Functions -> SOLUTION: 1.Express the Quadratic Function in Standard Form. 2.Find it's Vertex and its x- and y- intercept(s). f(x)=2x^2+4x+3       Log On


   

Question 765314: 1.Express the Quadratic Function in Standard Form.
2.Find it's Vertex and its x- and y- intercept(s).
f(x)=2x^2+4x+3
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
1.Express the Quadratic Function in Standard Form.
2.Find it's Vertex and its x- and y- intercept(s).
Standard form of equation: y=A%28x-h%29%5E2%2Bk, (h,k)=(x,y) coordinates of the vertex, A is a coefficient that affects the slope or steepness of the curve
f(x)=2x^2+4x+3
complete the square
f(x)=2(x^2+2x+1)-2+3
f%28x%29=2%28x%2B1%29%5E2%2B1
vertex(-1,1)
..
y-intercept
set x=0
y=2x^2+4x+3
y=3
..
x-intercept
set y=0
0≠2x^2+4x+3
x-intercept: none
see graph below as a visual check:
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+2x%5E2%2B4x%2B3%29+