Joel was studying the function f(x) = 2x2– 6x + 4. Please identify the key points. Part A: Direction of opening Part B: Axis of Symmetry Part C: Vertex Part D: Y-intercept Part E: X-intercept

Part A: the parabola opens upwards

Part B:

Part C: The vertex point is

Part D:

Part E: and

Step-by-step explanation:

We have the function:

Where the coefficients are:

a = 2

b = -6

c = 4

Part A:

Here we can see that the leading coefficient of our parabola (a = 2) is positive, so by the definition, the parabola opens upwards.    

Part B:

The axis of the symmetry equation is given by:

Part C:

The vertex is the minimum point of our parabola.

Using the x value founded in Part B we can find f(x)=y.

Therefore, the vertex point is

Part D:

To get the y-intercept we just need to do x = 0.

The y-intercept is (0,4)

Part E:

To get the x-intercept we just need to do y = 0.

The x-intercept is (1,0) and (2,0)

I hope it helps you!

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step-by-step explanation: