Question

For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms.

y = x² - 4x + 4

Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one

Answer 1

The missing entries in the equation y = x² - 4x + 4 are (0, 4) and (2, 0).

Step-by-step explanation:

In the given equation y = x² - 4x + 4, we need to determine the values of the missing entries. The equation is already in standard form. To find the y-intercept, substitute x=0 into the equation: y = (0)² - 4(0) + 4 = 4. Therefore, the y-intercept is (0, 4).

To find the x-intercepts, set y=0 and solve for x. Factor the quadratic equation: x² - 4x + 4 = (x-2)(x-2) = (x-2)². Therefore, the x-intercept is (2, 0). So, the missing entries are (0, 4) and (2, 0).

Answer 2

To determine the missing entries in the equation y = x² - 4x + 4, substitute the given value of x into the equation and solve for y. The missing entry in the table is (2,0).

Step-by-step explanation:

To determine the values of the missing entries in the equation y = x² - 4x + 4, we need to substitute the given value of x into the equation and solve for y. In this case, we are given x = 2. Substituting this into the equation gives us:

y = (2)² - 4(2) + 4

y = 4 - 8 + 4

y = 0

So, the missing entry in the table is (2,0).