Write quadratic functions given three points in a plane

1. Find the equation for the following parabola using a linear system (see pic 1)

A) Write the three equations using three ordered pairs

EQ 1:

EQ 2:

EQ 3:

B) Write the linear system

C) Solve the system using substitution and then elimination. Show all work and steps:

D) List the three parameter values: a=___ b=___ c=___

E) Write the quadratic equation

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

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step-by-step explanation:

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step-by-step explanation:

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