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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Incorrect

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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Incorrect

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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Incorrect

Question 5 of 10

5. Question

Find the expression of the parabola.

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Incorrect

Question 6 of 10

6. Question

Find the \(x \)-intercepts of \(y = {x^2} – 3x – 1\).

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Incorrect

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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Incorrect

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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Incorrect

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 \(x\).