If the parabola defined by $y = ax^2 + 6$ is tangent to the line $y = x,$ then calculate the constant $a.$
Question:
If the parabola defined by $y = ax^2 + 6$ is tangent to the line $y = x,$ then calculate the constant $a.$
Answer:
Let's think step by step.

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If the parabola defined by $y = ax^2 + 6$ is tangent to the line $y = x,$ then calculate the constant $a.$
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