Question

100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answer 1

See the graph below.

y-intercept is 4

Axis of symmetry is x = 2

y-coordinate of the vertex is 0.

x: -1 0 1 2 3 4

y: 9 4 1 0 1 4

Explanation:

y =
`x^(2)` -4x + 4

+4 at the end of the equation is the y intercept

Axis of symmetry

`(-b)/(2a)` a = 1 b = -4 c = 4

`(4)/(2(1))` =
`(4)/(2)` = 2

x = 2

x-coordinate of the vertex:

y =
`x^(2)` -4a + 4 Substitute 2 for x

y =
`2^(2)` -4(2) + 4

y = 4 - 8 + 4

y = 0

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