Graph each equation from each table by hand or with graphing technology. Then, describe in words or...

Question

Graph each equation from each table by hand or with graphing technology. Then, describe in words or pictures how the parent function changes with each new equation. Complete the conjecture statement for each table based on what you observe.
(y₁ = x²) to get the new functions.
Equation
y₁ = x²
y₂ = x² + 3
y₃ = x² + 7
Changes to parent graph
1. Conjecture: The graph of y = x² + a will cause the parent graph to _______

SnapAndSolve AI · Accepted Answer

Changes to parent graph: y₁ = x²: This is the parent function, a standard parabola opening upwards with vertex at the origin (0,0). y₂ = x² + 3: This graph is a vertical shift of the parent function upwards by 3 units. The vertex moves from (0,0) to (0,3). y₃ = x² + 7: This graph is a vertical shift of the parent function upwards by 7 units. The vertex moves from (0,0) to (0,7). 1. Conjecture: The graph of y = x² + a will cause the parent graph to shift vertically upwards by 'a' units.

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Graph each equation from each table by hand or with graphing technology. Then, describe in words or...

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