6
advanced-math

Find the y-intercept of y=3(x−2)2+1y = 3(x - 2)^2 + 1.

A

(0,13)(0, 13)

B

(0,1)(0, 1)

C

(0,−11)(0, -11)

D

(0,5)(0, 5)

Correct Answer: A

Choice A is the correct answer. Substitute x=0x = 0 to find the y-intercept.

  1. y=3(0−2)2+1y = 3(0 - 2)^2 + 1
  2. y=3(−2)2+1y = 3(-2)^2 + 1
  3. y=3(4)+1y = 3(4) + 1
  4. y=12+1=13y = 12 + 1 = 13

The point is (0,13)(0, 13).

Choice B is incorrect because it uses the k-value (vertex y). Choice C is incorrect because of calculation errors. Choice D is incorrect because it calculates 3(−2)+1=−53(-2)+1 = -5.

Next
Question 7 →
Back to Set
Set 8: Quadratic Equations and Functions 8