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Home » Set the equations equal to find intersection points: - RedTag Digital

Set the equations equal to find intersection points: - RedTag Digital

📅 May 17, 2026 👤 scraface

May 17, 2026

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Then, calculate \( H \):
\[ H = \frac{(25)^2}{2 \times 9.8} = \frac{625}{19.6} \approx 31.8878...
The function \( f(x) = 3x^2 - 12x + 7 \) represents a parabola. Find t...
The vertex \( (h, k) \) of a parabola \( ax^2 + bx + c \) is given by:
\[ h = -\frac{b}{2a} \]
Here, \( a = 3 \), \( b = -12 \).
Calculate \( h \):
\[ h = -\frac{-12}{2 \times 3} = \frac{12}{6} = 2 \]
Substitute \( x = 2 \) into \( f(x) \) to find \( k \):
\[ k = 3(2)^2 - 12(2) + 7 = 12 - 24 + 7 = -5 \]

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