SOLUTION: Graph the quadratic function f(x)=7(x+1)^2+4: state the ordeed pairs representing the x-intercept and y-intercept (if any) and the vertex or the parabola.

Question 369244: Graph the quadratic function f(x)=7(x+1)^2+4: state the ordeed pairs representing the x-intercept and y-intercept (if any) and the vertex or the parabola.
Found 2 solutions by stanbon, lefty4ever26:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Graph the quadratic function f(x)=7(x+1)^2+4:
state the ordeed pairs representing the x-intercept and y-intercept (if any) and the vertex or the parabola.
----
Vertex: (-1,4)
y-int: (0,11)
x-int: none
-------

=====
Cheers,
Stan H.

Answer by lefty4ever26(59) (Show Source): You can put this solution on YOUR website!
I simplified it by FOILing the (x+1)^2 and multiplying 7 thru giving me
The x-intercept occurs when f(x)=0.
Using the determinate plugging in 7,14,11 for a,b,c. you determine that There is no x intercept because you can't take the square root of a negative number.
The y intercept is found when x=0. So plug in 0 for any x.
SO the y intercept is at (0,11)
To find the vertex take the derivative of f(x) to get
set equal to 0 and solve for x.

Solve f(-1)
So your vertex is at (-1,4) which is illustrated in the following graph

RELATED QUESTIONS
Graph the quadratic function {{{ f(x)=-x^2+2x+15 }}}; state the ordered pairs... (answered by nerdybill)
Graph the quadratic function f(x)= -2x^2+8x+8. State the ordered pairs representing the... (answered by mananth)
Graph the quadratic funtion f(x)=-5(x-2)^2+9. State the ordered pairs representing the... (answered by mananth)
Graph the quadratic function {{{f(x)=-7x^2-10x+5}}}. State the ordered pairs representing (answered by solver91311)
I have tried to do this question a a lot of time but My answer and the Graph is not... (answered by ankor@dixie-net.com)
Graph the function f(x)=4^x+1-2 find the zeros y-intercept, and... (answered by Fombitz)
Determine tje concavity of the parabola representing the quadratic function,its y... (answered by ewatrrr)
Find the f(x) = mx + b, given the x- and y-intercept of the linear function. x-intercept (answered by ewatrrr)
find the quadratic function f having x-intercept 3 and -4 and y-intercept... (answered by josgarithmetic)