One Red Apple and 4 Golden apple cost \($1.65\), whereas 2 Red Apples and 3 Golden Apples cost \($1.55\). How much does each type of Apple cost?
golden apple = cents, red apple = cents
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Question 3 of 10
3. Question
Find the equation of the graph in red, where the graph of $y=2^x$ is given in blue.
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Hint
$y=a^x$ is shifted to the right by $b$ units, $y=a^{x-b}$. $y=a^x$ is shifted to the left by $b$ units, $y=a^{x+b}$. $y=a^x$ is shifted up by $c$ units, $y=a^x + c$. $y=a^x$ is shifted down by $c$ units, $y=a^x – c$.
Question 4 of 10
4. Question
Find the coordinates of the vertex of $y=-x^2+6x+1$.
(,)
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Question 5 of 10
5. Question
Find the expression of the parabola.
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Question 6 of 10
6. Question
Find the \(x \)-intercepts of \(y = {x^2} – 3x – 1\).
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Hint
\(x \)-intercept is where \(y = 0\).
Question 7 of 10
7. Question
The axis of symmetry of \(y = a{x^2} + 4x – 1\) is \(x = – 2\). Find \(a \).
\(a = \)
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Hint
\(x = – \dfrac{b}{{2a}}\)
Question 8 of 10
8. Question
Find \(a \), if the vertex of \(y = {2ax^2} – 8x + a\) is \(\left( {4, 1} \right)\).
\(a = \)
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Hint
\(x = – \dfrac{b}{{2a}}\)
Question 9 of 10
9. Question
Find the vertical asymptote(s) of \(f\left( x \right) = \dfrac{1}{{{x^2} + 4x + 3}}\).
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Question 10 of 10
10. Question
Find the maximum or minimum value of \(y = 2\left( {x – 1} \right)\left( {x – 2} \right)\), and the corresponding value of \(x\).