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2 years ago

Need help with Math (Quadratic)

Mathematics

1 answer:

BaLLatris [955]2 years ago

8 0

Answer:

f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23

Step-by-step explanation:

The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.

<h3>vertex form</h3>

The vertex form equation for a parabola is ...

f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'

<h3>equation</h3>

For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...

f(x) = 2(x -3)² +5 . . . . . vertex form equation

Expanded to standard form, this is ...

f(x) = 2(x² -6x +9) +5

f(x) = 2x² -12x +23 . . . . . standard form equation

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1 year ago

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I only (sort of) know 3 and 4

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3 years ago

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Please solve this Screenshot/attachment that is included below, thanks!

amm1812

Answer:

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Step-by-step explanation:

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(For the number line please look at the attachment)

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2 years ago

When solving a system of equations of A and B, we get no solution. When solving B and C, the solution is (0,3). When solving A a

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Step-by-step explanation:

How do we set about finding the points in which two graphs y = f(x) and y = g(x) intersect?

We already know how to find where the graph of f(x) cuts the x−axis. That’s where y = 0. We calculate it by solving the equation f(x) = 0 .

When the graphs of y = f(x) and y = g(x) intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection. We can then find the y value by putting the value for x that we have found into one of the original equations. That is by calculating either f(x) or g(x).

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Calculate the point of intersection of the two lines f(x) = 2x − 1 and g(x) = x + 1. First let’s look at a graph of the two functions. We can see the point of intersection is (2, 3).

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f(2) = 2×2 − 1 = 3

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2 years ago

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MatroZZZ [7]

Answer:

see below

Step-by-step explanation:

(x) = 7 - 2x

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3 years ago

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