Answer:
The y-intercept for this equation is 22.
Step-by-step explanation:
You can solve this quite easily by assigning a zero value to x and solving for y. That is where the curve will intersect the x-axis:
y = 2(x - 3)² + 4
y = 2(x² - 6x + 9) + 4
y = 2x² - 12x + 18 + 4
y = 2x² - 12x + 22
EDIT
Note that the expression above is in standard form, though it can also be factored if needed:
y = 2(x² - 6x + 11)
Now we can solve for an x value of zero:
y = 2(0)² - 12(0) + 22
y = 22
So the y-intercept is 22.
