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Determine the coordinates of A,B,C and D if f(x)=2xsquared+8 and g(x)=3x+6 are sketched​

User Gonzih
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1 Answer

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To determine the coordinates of points A, B, C, and D on the graphs of the functions f(x) = 2x^2 + 8 and g(x) = 3x + 6, we need to substitute different values of x into the equations and calculate the corresponding y-values. Here's how we can do that:

1. For function f(x) = 2x^2 + 8:

- Choose a value for x, let's say x = 0.

- Substitute x = 0 into the equation: f(0) = 2(0)^2 + 8 = 8.

- So, the coordinate of point A is (0, 8).

2. For function g(x) = 3x + 6:

- Choose a value for x, let's say x = 0.

- Substitute x = 0 into the equation: g(0) = 3(0) + 6 = 6.

- So, the coordinate of point B is (0, 6).

Now, let's choose another value for x, let's say x = 2, and calculate the corresponding y-values:

3. For function f(x) = 2x^2 + 8:

- Substitute x = 2 into the equation: f(2) = 2(2)^2 + 8 = 2(4) + 8 = 16 + 8 = 24.

- So, the coordinate of point C is (2, 24).

4. For function g(x) = 3x + 6:

- Substitute x = 2 into the equation: g(2) = 3(2) + 6 = 6 + 6 = 12.

- So, the coordinate of point D is (2, 12).

In summary, the coordinates of points A, B, C, and D on the graphs of the functions f(x) = 2x^2 + 8 and g(x) = 3x + 6 are as follows:

- Point A: (0, 8)

- Point B: (0, 6)

- Point C: (2, 24)

- Point D: (2, 12)

These coordinates represent the points where the graphs of the functions intersect the x and y axes.

User Svens
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