Quadratic Practice

Mixed Review

100

Find the x and y intercepts of f(x)=2x²+7x+6

y: 6

x: -2, -3/2

200

What is the end behavior of f(x)=-3x⁴-7x³+x²-5x-11

x->-inf, f(x)-> -inf

x->inf, f(x)-> -inf

300

What are the x and y intercepts of f(x)=(x+4)(x-2)(x+1)

x: {-4, -1, 2}

y: -8

400

What are the zeros and multiplicity of f(x)=x⁵-8x³+16x

x=0 Mult: 1

x=-2, Mult: 2

x=2, Mult: 2

Quadratics

100

H(t)=-8t²+80t+88

When does the ball reach its maximum height?

5 seconds

200

H(t)=-8t²+80t+88

What is the ball's maximum height

288 ft

300

Rewrite f(x)=-2x²+12x-5 into standard form. Identify the vertex

f(x)=-2(x-3)²+13

(3, 13)

400

f(x)=kx²+(2k-3)x+(k-4) has one real solution. Find k.

k=-9/4

AOS &VERTEX

100

f(x) = 4x² + 7

x=0

(0,7)

200

f(x)=3(x-4)²-5

AOS: x=4

(4,-5)

300

f(x) = -3x² + 18x - 13.

x=3

(3,14)

400

f(x)= ax² - 12x + c has a vertex at (3, -5). Find a and c.

a= 2, c=13

Inequalities

100

x²-4>0

(-inf, -2)U(2, inf)

200

(x²-8x+12)/(x-2)≤0

(-inf, 2)U(2,6]

300

x⁴+4x³-5x² <0

(-5,0)U(0,1)

400

x²+3x+8>0

All Reals

Zeros of Quadratics

100

Find the zeros of g(x)=x³-4x²-x+4

{-1, 1, 4}

200

Find the zeros of p(x)=x³+2x²-33x-90 if we know one of the roots is 6

{-5, -3, 6}

300

Find the zeroes of f(x)=x³-5x²+2x+8

{-1, 2, 4}

400

Find the zeroes of f(x)=x³⁺5x²+3x-9

{1, -3}