3 - 5 into the standard form and2. (a) Bring the quadratic function f(x)identify the axis of symmetry and the vertex of the corresponding parabola. Showyour work!(b) Write down the standard form of the equation of the parabola whose vertex islocated at point (4,1), with one x-intercept being (9,0). Show your work!

Question
Asked Nov 29, 2019
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question 2

3 - 5 into the standard form and
2. (a) Bring the quadratic function f(x)
identify the axis of symmetry and the vertex of the corresponding parabola. Show
your work!
(b) Write down the standard form of the equation of the parabola whose vertex is
located at point (4,1), with one x-intercept being (9,0). Show your work!
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3 - 5 into the standard form and 2. (a) Bring the quadratic function f(x) identify the axis of symmetry and the vertex of the corresponding parabola. Show your work! (b) Write down the standard form of the equation of the parabola whose vertex is located at point (4,1), with one x-intercept being (9,0). Show your work!

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Expert Answer

Step 1

Consider the given function:

-x
+3x -5
3
f(x)
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-x +3x -5 3 f(x)

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Step 2

Convert the given function in the standard form:

f(x)=
3x-5
3
f(x)(29x+ 15)
81 81
+15
4
-2x xx+
3
4
9
x-2xxx+
2
81
21
S(x)=
3
4
21
-3f(x)+
X--
2
re-3-
Compare the above equation with 4a( f (x)-k) = (x-h)
4a-3
-3
4
7
k
h=
Therefore, vertex is
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f(x)= 3x-5 3 f(x)(29x+ 15) 81 81 +15 4 -2x xx+ 3 4 9 x-2xxx+ 2 81 21 S(x)= 3 4 21 -3f(x)+ X-- 2 re-3- Compare the above equation with 4a( f (x)-k) = (x-h) 4a-3 -3 4 7 k h= Therefore, vertex is

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Step 3

Consider the information given in th...

Vertex: (4,1
x-intercept: 9
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Vertex: (4,1 x-intercept: 9

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