Find equations of tangents and normals
12th grade (Year 13 in England) · 16 questions · Common Core: HSG.GPE.B.5 · England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
Find the equation of the tangent to y = 2x² + 4x + 3 at x = 0. Type the right-hand side of y = … .
Answer
Question 2
Find the equation of the normal to y = x² + 4x at x = 0. Type the right-hand side of y = … (fractions are fine).
Answer
Question 3
Find the equation of the tangent to y = −x² + 2x + 5 at x = −1. Type the right-hand side of y = … .
Answer
Question 4
Find the equation of the normal to y = x² + x − 3 at x = 3. Type the right-hand side of y = … (fractions are fine).
Answer
Question 5
Find the equation of the tangent to y = −x² − x + 2 at x = 0. Type the right-hand side of y = … .
Answer
Question 6
Find the equation of the normal to y = x² − 4x + 4 at x = −3. Type the right-hand side of y = … (fractions are fine).
Answer
Question 7
Find the equation of the tangent to y = −x² − 4x − 1 at x = −2. Type the right-hand side of y = … .
Answer
Question 8
Find the equation of the normal to y = x² + 4x − 6 at x = 0. Type the right-hand side of y = … (fractions are fine).
Answer
Question 9
Find the equation of the tangent to y = 3x² − x − 6 at x = 1. Type the right-hand side of y = … .
Answer
Question 10
Find the equation of the normal to y = x² + x − 3 at x = 2. Type the right-hand side of y = … (fractions are fine).
Answer
Question 11
Find the equation of the tangent to y = 2x² + 5x + 3 at x = 2. Type the right-hand side of y = … .
Answer
Question 12
Find the equation of the normal to y = x² + 3x − 4 at x = 0. Type the right-hand side of y = … (fractions are fine).
Answer
Question 13
Find the equation of the tangent to y = 2x² − x + 1 at x = 1. Type the right-hand side of y = … .
Answer
Question 14
Find the equation of the normal to y = x² − 5x − 5 at x = −3. Type the right-hand side of y = … (fractions are fine).
Answer
Question 15
Find the equation of the tangent to y = 3x² − x + 6 at x = 3. Type the right-hand side of y = … .
Answer
Question 16
Find the equation of the normal to y = x² − 4x − 4 at x = 3. Type the right-hand side of y = … (fractions are fine).
Answer
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