The vertex of a quadratic function is 6 comma 2 , and the y -intercept of the function is 0 comma negative 70 The equation of the function in vertex form, f of x is equal to a times open paren x minus h close paren squared plus k , is shown. negative 70 is equal to a times open paren 0 minus 6 close paren squared plus 2 What is the value of A ?
Substitute the vertex (6, 2) and the y-intercept (0, −70) into vertex form: −70 = a(0 − 6)² + 2. Since (0 − 6)² = 36, subtracting 2 gives −72 = 36a, so a = −2. The correct choice is negative 2.
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