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Gre4nikov [31]
3 years ago
12

the graph of g(x) = x³ -9x² + 3x -1 is translated up 5 units to produce the graph of the function h(x). what would be the new eq

uation of h(x)​
Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

Answer:

h(x) = x^3 - 9x^2 + 3x + 4

Step-by-step explanation:

To write the new equation, we have to understand what the translation is about

What it means is that we are going to add the 5 units to the total value of the equation

we have this as:

h(x) = x^3-9x^2 + 3x-1 + 5

h(x) = x^3 - 9x^2 + 3x + 4

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a.

Your equation is written as:

y = ax^{2} + bx +c

The easiest way to find the vertex is writing the equation this way:

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Being the vertex (h,k)

So first complete the square

y = x^{2} -5x -6 \\y = x^{2} - 2(2.5x) -6 \\y = x^{2} - 2(2.5x) +2.5^{2} - 2.5^{2} -6 \\y = (x^{2} -2(2.5x) + 2.5^{2}) -6.25 - 6 \\y = (x-2.5)^{2} -12.25

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To find the x-intercept you need to replace the equation when y = 0 and get x

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