Which pair of equations generates graphs with the same vertex? y=-x+42 and y=x-42 y=-4×2 and y=4×2 y=-x2-4 and y=x2+4 y=x-42 and y=x2+4

Question: Which pair of equations generates graphs with the same vertex? y=-x+42 and y=x-42 y=-4×2 and y=4×2 y=-x2-4 and y=x2+4 y=x-42 and y=x2+4

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## Gauth Tutor Solution

Vivian

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A Write properties of function:
vertex form:y = – (x + 4)^{2}
vertex:(-4,0)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/eb6f7fcc5997493f8a6eab7200ffee98~tplv-ejcjvp0zxf-scale:735:897.image
B Write properties of function:
vertex form:y = – 4 x^{2}
vertex:(0,0)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/b1a1c56c1d9a40848958932f69a1a6c0~tplv-ejcjvp0zxf-scale:915:888.image
C Write properties of function:
vertex form:y = x^{2} + 4
vertex:(0,4)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/778f6a22d4ee44eb86fa33e5eed697c0~tplv-ejcjvp0zxf-scale:2070:888.image
D Write properties of function:
vertex form:y = (x – 4)^{2}
vertex:(4,0)

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/eb6f7fcc5997493f8a6eab7200ffee98~tplv-ejcjvp0zxf-scale:735:897.image

B Write properties of function:

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/b1a1c56c1d9a40848958932f69a1a6c0~tplv-ejcjvp0zxf-scale:915:888.image

C Write properties of function:

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/778f6a22d4ee44eb86fa33e5eed697c0~tplv-ejcjvp0zxf-scale:2070:888.image

D Write properties of function:

vertex form:

vertex:

Explanation

A
Write properties of function: Write properties of function:
vertex form:y = – (x + 4)^{2}
vertex:(-4,0)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/eb6f7fcc5997493f8a6eab7200ffee98~tplv-ejcjvp0zxf-scale:735:897.image
vertex form:y = – (x + 4)^{2}
vertex:(-4,0)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/eb6f7fcc5997493f8a6eab7200ffee98~tplv-ejcjvp0zxf-scale:735:897.image
B
Write properties of function: Write properties of function:
vertex form:y = – 4 x^{2}
vertex:(0,0)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/b1a1c56c1d9a40848958932f69a1a6c0~tplv-ejcjvp0zxf-scale:915:888.image
vertex form:y = – 4 x^{2}
vertex:(0,0)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/b1a1c56c1d9a40848958932f69a1a6c0~tplv-ejcjvp0zxf-scale:915:888.image
C
Write properties of function: Write properties of function:
vertex form:y = x^{2} + 4
vertex:(0,4)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/778f6a22d4ee44eb86fa33e5eed697c0~tplv-ejcjvp0zxf-scale:2070:888.image
vertex form:y = x^{2} + 4
vertex:(0,4)
graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/778f6a22d4ee44eb86fa33e5eed697c0~tplv-ejcjvp0zxf-scale:2070:888.image
D
Write properties of function: Write properties of function:
vertex form:y = (x – 4)^{2}
vertex:(4,0)
vertex form:y = (x – 4)^{2}
vertex:(4,0)

Write properties of function: Write properties of function:

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/eb6f7fcc5997493f8a6eab7200ffee98~tplv-ejcjvp0zxf-scale:735:897.image

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/eb6f7fcc5997493f8a6eab7200ffee98~tplv-ejcjvp0zxf-scale:735:897.image

B

Write properties of function: Write properties of function:

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/b1a1c56c1d9a40848958932f69a1a6c0~tplv-ejcjvp0zxf-scale:915:888.image

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/b1a1c56c1d9a40848958932f69a1a6c0~tplv-ejcjvp0zxf-scale:915:888.image

C

Write properties of function: Write properties of function:

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/778f6a22d4ee44eb86fa33e5eed697c0~tplv-ejcjvp0zxf-scale:2070:888.image

vertex form:

vertex:

graph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/778f6a22d4ee44eb86fa33e5eed697c0~tplv-ejcjvp0zxf-scale:2070:888.image

D

Write properties of function: Write properties of function:

vertex form:

vertex:

vertex form:

vertex:

4.7

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