Mr Daniels Maths
Sketching Quadratics

Easy

Medium

Difficult

Q1) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 12x + 32\)

a) y-intercept = (0,32)
b) roots =\((-4,0)\) and \((-8,0)\)
c)Turning point (-6,-4);

Q1) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 -x -12\)
a) y-intercept = (0,-12)
b) roots =\(4,-3\)
c) turning point (0.5,-12.25);
Q1) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 7x + 12\)
a) y-intercept = (0,12)
b) roots =\(-4,-3\)
c) turning point (-3.5,-0.25);
Q2) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 2x + 1\)

a) y-intercept = (0,1)
b) roots =\((-1,0)\) and \((-1,0)\)
c)Turning point (-1,0);

Q2) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 7x + 10\)
a) y-intercept = (0,10)
b) roots =\(-2,-5\)
c) turning point (-3.5,-2.25);
Q2) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 6x + 5\)
a) y-intercept = (0,5)
b) roots =\(-1,-5\)
c) turning point (-3,-4);
Q3) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 15x + 54\)

a) y-intercept = (0,54)
b) roots =\((-9,0)\) and \((-6,0)\)
c)Turning point (-7.5,-2.25);

Q3) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 -5x + 4\)
a) y-intercept = (0,4)
b) roots =\(4,1\)
c) turning point (2.5,-2.25);
Q3) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 -7x + 12\)
a) y-intercept = (0,12)
b) roots =\(4,3\)
c) turning point (3.5,-0.25);
Q4) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 9x + 18\)

a) y-intercept = (0,18)
b) roots =\((-6,0)\) and \((-3,0)\)
c)Turning point (-4.5,-2.25);

Q4) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 2x -3\)
a) y-intercept = (0,-3)
b) roots =\(1,-3\)
c) turning point (-1,-4);
Q4) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 8x + 16\)
a) y-intercept = (0,16)
b) roots =\(-4,-4\)
c) turning point (-4,0);
Q5) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + 14x + 45\)

a) y-intercept = (0,45)
b) roots =\((-9,0)\) and \((-5,0)\)
c)Turning point (-7,-4);

Q5) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + x -6\)
a) y-intercept = (0,-6)
b) roots =\(2,-3\)
c) turning point (-0.5,-6.25);
Q5) Find the (a)y-intercept, (b) roots and (c) turning point of y=\(x^2 + x -6\)
a) y-intercept = (0,-6)
b) roots =\(-3,2\)
c) turning point (-0.5,-6.25);