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Home » \[ (1.05)^8 \approx 1.47746 \] - Crosslake

\[ (1.05)^8 \approx 1.47746 \] - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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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 \( k \):
\[ k = 3(2)^2 - 12(2) + 7 = 12 - 24 + 7 = -5 \]
The vertex is \( (2, -5) \).
#### (2, -5)

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