<p>The curve of $y={{a}^{3x+b}}+3$ passes through $\left( 0,\frac{7}{2} \right)$ and $\left( -\frac{2}{3},5 \right)$. Find the values of $a$ and $b$.</p>
<p>Hence, sketch the graphs of $y={{a}^{3x+b}}+3$, labelling the coordinates of axial intercepts and equations of asymptotes.</p>

The curve of $y={{a}^{3x+b}}+3$ passes through $\left( 0,\frac{7}{2} \right)$ and $\left( -\frac{2}{3},5 \right)$. Find the values of $a$ and $b$.

Hence, sketch the graphs of $y={{a}^{3x+b}}+3$, labelling the coordinates of axial intercepts and equations of asymptotes.

Exponential and Logarithmic Functions - Sketching Exponential Functions and Solving Equations Graphically

Question 5a45c241

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