Question

Which graph represents the given equation? y = NICO + 4r – 2

Answer 1

Equations can be represented on graphs by plotting the corresponding x and y values. The graph of $y = \frac{3}{2}x^2 + 4x - 2$ is option (B).

Given that:

$y = \frac{3}{2}x^2 + 4x - 2$

First, we check the y intercept of $y = \frac{3}{2}x^2 + 4x - 2$

This is when $x = 0$

So, we have:

$y = \frac{3}{2}x^2 + 4x - 2$

$y = \frac{3}{2} \times 0^2 + 4\times 0 - 2$

$y = - 2$

This point is represented as: $(0,-2)$

Next, check the equation when $x = 1$

So, we have:

$y = \frac{3}{2}x^2 + 4x - 2$

$y = \frac{3}{2} \times 1^2 + 4\times 1 - 2$

$y = 3.5$

This point is represented as: $(1,3.5)$

From the list of given options (see attachment).

Only graph B has the $(0,-2)$ and $(1,3.5)$ on its curve.

Hence, option (B) is correct.

Read more about equation of graphs at:

brainly.com/question/1971145