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In this lesson, we will learn how to identify the equation of a quadratic by considering its coefficients and to relate how they affect the curve.

Q1:

Which of the following graphs represents 𝑓 ( 𝑥 ) = 𝑥 + 1 2 ?

Q2:

Write the quadratic equation represented by the graph shown.

Q3:

Q4:

Q5:

Q6:

Q7:

Q8:

Q9:

Write the quadratic equation represented by the graph shown. Give your answer in standard form.

Q10:

Q11:

Q12:

Q13:

Write the quadratic equation represented by the graph shown. Give your answer in factored form.

Q14:

Q15:

Q16:

The point ( 𝑎 − 6 , 0 ) is the vertex of the graph of the quadratic function 𝑓 . If the solution set of the equation 𝑓 ( 𝑥 ) = 0 is { 5 } , what is the value of 𝑎 ?

Q17:

Given that the point ( 4 , − 4 ) is the vertex of the graph of the quadratic function 𝑓 , and 6 is a root of the equation 𝑓 ( 𝑥 ) = 0 , find the other root of the equation.

Q18:

Which of the following graphs represents the equation 𝑦 = 𝑥 − 5 𝑥 + 8 2 ?