Step 1:

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The function $\"\"$ and the point $\"\"$ .

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(a)

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The point $\"\"$ should satisfies the function $\"\"$ .

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Substitute $\"\"$ in the function.

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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The point $\"\"$ is on the graph of function $\"\"$ .

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(b)

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Find $\"\"$ .

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The function is $\"\"$ .

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Substitute $\"\"$ in the function.

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$\"\"$

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$\"\"$ .

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Hence,the point $\"\"$ is on the graph of function $\"\"$ .

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(c)

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Find x value.

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Here $\"\"$

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The function is $\"\"$ .

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$\"\"$

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$\"\"$

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The x values are $\"\"$ .

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The points $\"\"$ are on the graph of function $\"\"$ .

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(d)

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The function is $\"\"$ .

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Since the function $\"\"$ is a quadratic function , all real values of x is a domain of $\"\"$ .

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The domain of the function $\"\"$ is $\"\"$ .

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(e)

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The function is $\"\"$ .

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Find the x - intercept ,by substituting y = 0 in the function.

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$\"\"$

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By factoring by grouping.

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$\"\"$

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The x - intercepts are $\"\"$ .

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(f)

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The function is $\"\"$ .

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Find the y - intercept ,by substituting x = 0 in the function.

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$\"\"$

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The y - intercept is $\"\"$ .