EDEXCEL A LEVEL YEAR 1 PURE MATHS
100% CORRECT ANSWERS
GUARANTEED PASS.
GRADED A+
QUESTIONS AND ANSWERS
Domain. ANSWER -The set of possible inputs for a function.
Range. ANSWER -The set of possible outputs of a function.
Discriminant. ANSWER -b² - 4ac > 0 then two distinct real roots.
b² - 4ac = 0 then one repeated real root.
b² - 4ac < 0 then a quadratic function has no real roots.
Types of Lines for Regions. ANSWER -If y < f(x) or y > f(x) then the curve y = f(x) is not
included in the region, and is represented by a dotted line.
If y ≤ f(x) or y ≥ f(x) then the curve y = f(x) is included in the region, and is represented
by a solid line.
Graph Translations. ANSWER -y = f(x) + a is a translation of the graph y = f(x) by a
upwards.
y = f(x + a) is a translation of the graph y = f(x) by a to the left.
, Graph Stretches. ANSWER -y = af(x) is a stretch of the graph y = f(x) by a scale factor of
a in the vertical direction.
y = f(ax) is a stretch of the graph y = f(x) by a scale factor of 1/a in the horizontal
direction.
Graph Reflections. ANSWER -y = -f(x) is a reflection of the graph of y = f(x) in the x-axis.
y = f(-x) is a reflection of the graph of y = f(x) in the y-axis.
Gradient of Equation. ANSWER -m = (y₂ - y₁) ÷ (x₂ - x₁)
Equation of a Line. ANSWER -y - y₁ = m(x - x₁)
with coords (x₁, y₁)
Distance Formula. ANSWER -√((x₂ - x₁)² + (y₂ - y₁)²)
from (x₁, y₁) to (x₂, y₂)
Perpendicular Bisector. ANSWER --1/m
where m is original gradient
Standard Equation of a Circle. ANSWER -(x - a)² + (y - b)² = r²
with centre (a, b) and radius r
Equation of a Circle (fg). ANSWER -x² + y² + 2fx + 2gy + c = 0
100% CORRECT ANSWERS
GUARANTEED PASS.
GRADED A+
QUESTIONS AND ANSWERS
Domain. ANSWER -The set of possible inputs for a function.
Range. ANSWER -The set of possible outputs of a function.
Discriminant. ANSWER -b² - 4ac > 0 then two distinct real roots.
b² - 4ac = 0 then one repeated real root.
b² - 4ac < 0 then a quadratic function has no real roots.
Types of Lines for Regions. ANSWER -If y < f(x) or y > f(x) then the curve y = f(x) is not
included in the region, and is represented by a dotted line.
If y ≤ f(x) or y ≥ f(x) then the curve y = f(x) is included in the region, and is represented
by a solid line.
Graph Translations. ANSWER -y = f(x) + a is a translation of the graph y = f(x) by a
upwards.
y = f(x + a) is a translation of the graph y = f(x) by a to the left.
, Graph Stretches. ANSWER -y = af(x) is a stretch of the graph y = f(x) by a scale factor of
a in the vertical direction.
y = f(ax) is a stretch of the graph y = f(x) by a scale factor of 1/a in the horizontal
direction.
Graph Reflections. ANSWER -y = -f(x) is a reflection of the graph of y = f(x) in the x-axis.
y = f(-x) is a reflection of the graph of y = f(x) in the y-axis.
Gradient of Equation. ANSWER -m = (y₂ - y₁) ÷ (x₂ - x₁)
Equation of a Line. ANSWER -y - y₁ = m(x - x₁)
with coords (x₁, y₁)
Distance Formula. ANSWER -√((x₂ - x₁)² + (y₂ - y₁)²)
from (x₁, y₁) to (x₂, y₂)
Perpendicular Bisector. ANSWER --1/m
where m is original gradient
Standard Equation of a Circle. ANSWER -(x - a)² + (y - b)² = r²
with centre (a, b) and radius r
Equation of a Circle (fg). ANSWER -x² + y² + 2fx + 2gy + c = 0
